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151125012 = 2232191092027
BaseRepresentation
bin10010000000111…
…11110000010100
3101112100221112200
421000133300110
5302142000022
622555044500
73513353463
oct1100376024
9345327480
10151125012
1178340505
1242740730
1325403cac
14160dc9da
15d402bac
hex901fc14

151125012 has 72 divisors (see below), whose sum is σ = 406005600. Its totient is φ = 47262528.

The previous prime is 151124971. The next prime is 151125017. The reversal of 151125012 is 210521151.

151125012 is a `hidden beast` number, since 151 + 12 + 501 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151125017) 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 23 ways as a sum of consecutive naturals, for example, 73543 + ... + 75569.

Almost surely, 2151125012 is an apocalyptic number.

151125012 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 151125012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203002800).

151125012 is an abundant number, since it is smaller than the sum of its proper divisors (254880588).

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

151125012 is a wasteful number, since it uses less digits than its factorization.

151125012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 151125012 is about 12293.2913412153. The cubic root of 151125012 is about 532.6543148610.

Adding to 151125012 its reverse (210521151), we get a palindrome (361646163).

The spelling of 151125012 in words is "one hundred fifty-one million, one hundred twenty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 109 114 171 218 228 327 342 436 654 684 981 1308 1962 2027 2071 3924 4054 4142 6081 6213 8108 8284 12162 12426 18243 18639 24324 24852 36486 37278 38513 72972 74556 77026 115539 154052 220943 231078 346617 441886 462156 662829 693234 883772 1325658 1386468 1988487 2651316 3976974 4197917 7953948 8395834 12593751 16791668 25187502 37781253 50375004 75562506 151125012