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141505152 = 2732997131
BaseRepresentation
bin10000110111100…
…11001010000000
3100212021012120120
420123303022000
5242211131102
622012540240
73335526315
oct1033631200
9325235516
10141505152
117296aa08
123b481680
1323416479
1414b16d0c
15c6526bc
hex86f3280

141505152 has 128 divisors (see below), whose sum is σ = 395841600. Its totient is φ = 44728320.

The previous prime is 141505129. The next prime is 141505157. The reversal of 141505152 is 251505141.

141505152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (141505157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080127 + ... + 1080257.

Almost surely, 2141505152 is an apocalyptic number.

141505152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197920800).

141505152 is an abundant number, since it is smaller than the sum of its proper divisors (254336448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141505152 is a wasteful number, since it uses less digits than its factorization.

141505152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 141505152 is about 11895.5938061116. The cubic root of 141505152 is about 521.1036127177.

The spelling of 141505152 in words is "one hundred forty-one million, five hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 97 116 128 131 174 192 194 232 262 291 348 384 388 393 464 524 582 696 776 786 928 1048 1164 1392 1552 1572 1856 2096 2328 2784 2813 3104 3144 3712 3799 4192 4656 5568 5626 6208 6288 7598 8384 8439 9312 11136 11252 11397 12416 12576 12707 15196 16768 16878 18624 22504 22794 25152 25414 30392 33756 37248 38121 45008 45588 50304 50828 60784 67512 76242 90016 91176 101656 121568 135024 152484 180032 182352 203312 243136 270048 304968 360064 364704 368503 406624 486272 540096 609936 729408 737006 813248 1080192 1105509 1219872 1458816 1474012 1626496 2211018 2439744 2948024 4422036 4879488 5896048 8844072 11792096 17688144 23584192 35376288 47168384 70752576 141505152