151162974930240 has 4704 divisors, whose sum is σ = 711690260152320. Its totient is φ = 29845137014784.

The previous prime is 151162974930223. The next prime is 151162974930263. The reversal of 151162974930240 is 42039479261151.

151162974930240 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 6 + 297 + 4 + 9 + 302 + 40 = 666.

It is a super-3 number, since 3×151162974930240³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 665916189007 + ... + 665916189233.

Almost surely, 2^{151162974930240} is an apocalyptic number.

151162974930240 is a gapful number since it is divisible by the number (10) 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 151162974930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355845130076160).

151162974930240 is an abundant number, since it is smaller than the sum of its proper divisors (560527285222080).

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

151162974930240 is a wasteful number, since it uses less digits than its factorization.

151162974930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 151162974930240 in words is "one hundred fifty-one trillion, one hundred sixty-two billion, nine hundred seventy-four million, nine hundred thirty thousand, two hundred forty".