151504151328 has 192 divisors, whose sum is σ = 457078809600. Its totient is φ = 48771901440.

The previous prime is 151504151311. The next prime is 151504151333. The reversal of 151504151328 is 823151405151.

151504151328 is a `hidden beast` number, since 1 + 5 + 1 + 504 + 15 + 132 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151504151292 and 151504151301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13627500 + ... + 13638612.

It is an arithmetic number, because the mean of its divisors is an integer number (2380618800).

Almost surely, 2^151504151328 is an apocalyptic number.

151504151328 is a gapful number since it is divisible by the number (18) 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 151504151328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228539404800).

151504151328 is an abundant number, since it is smaller than the sum of its proper divisors (305574658272).

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

151504151328 is a wasteful number, since it uses less digits than its factorization.

151504151328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11672 (or 11658 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

Adding to 151504151328 its reverse (823151405151), we get a palindrome (974655556479).

The spelling of 151504151328 in words is "one hundred fifty-one billion, five hundred four million, one hundred fifty-one thousand, three hundred twenty-eight".