151915746866400 has 1152 divisors, whose sum is σ = 609754893189120. Its totient is φ = 36195828480000.

The previous prime is 151915746866357. The next prime is 151915746866501. The reversal of 151915746866400 is 4668647519151.

151915746866400 is a `hidden beast` number, since 1 + 5 + 19 + 1 + 574 + 6 + 8 + 6 + 6 + 40 + 0 = 666.

It is a super-2 number, since 2×151915746866400² (a number of 29 digits) contains 22 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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3228722875 + ... + 3228769925.

It is an arithmetic number, because the mean of its divisors is an integer number (529301122560).

Almost surely, 2^{151915746866400} is an apocalyptic number.

151915746866400 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 151915746866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304877446594560).

151915746866400 is an abundant number, since it is smaller than the sum of its proper divisors (457839146322720).

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

151915746866400 is a wasteful number, since it uses less digits than its factorization.

151915746866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47325 (or 47306 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 151915746866400 in words is "one hundred fifty-one trillion, nine hundred fifteen billion, seven hundred forty-six million, eight hundred sixty-six thousand, four hundred".