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145156480 = 275732401
BaseRepresentation
bin10001010011011…
…10100110000000
3101010010201020221
420221232212000
5244130001410
622223112424
73411544510
oct1051564600
9333121227
10145156480
1174a34237
1240742714
13240c4411
14153c7840
15cb244da
hex8a6e980

145156480 has 64 divisors (see below), whose sum is σ = 396600480. Its totient is φ = 49766400.

The previous prime is 145156457. The next prime is 145156511. The reversal of 145156480 is 84651541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1451564803 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11721 + ... + 20680.

Almost surely, 2145156480 is an apocalyptic number.

145156480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145156480 is an abundant number, since it is smaller than the sum of its proper divisors (251444000).

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

145156480 is an equidigital number, since it uses as much as digits as its factorization.

145156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32427 (or 32415 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 145156480 is about 12048.0903051064. The cubic root of 145156480 is about 525.5477035447.

The spelling of 145156480 in words is "one hundred forty-five million, one hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 32401 64802 129604 162005 226807 259208 324010 453614 518416 648020 907228 1036832 1134035 1296040 1814456 2073664 2268070 2592080 3628912 4147328 4536140 5184160 7257824 9072280 10368320 14515648 18144560 20736640 29031296 36289120 72578240 145156480