151607011046400 has 5346 divisors, whose sum is σ = 716534983477170. Its totient is φ = 31693950812160.

The previous prime is 151607011046347. The next prime is 151607011046467. The reversal of 151607011046400 is 4640110706151.

151607011046400 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 0 + 7 + 0 + 1 + 1 + 0 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 81644091346944 + 69962919699456 = 9035712^2 + 8364384^2 .

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

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 485 ways as a sum of consecutive naturals, for example, 1390890009546 + ... + 1390890009654.

Almost surely, 2^{151607011046400} is an apocalyptic number.

151607011046400 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 151607011046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358267491738585).

151607011046400 is an abundant number, since it is smaller than the sum of its proper divisors (564927972430770).

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

151607011046400 is an equidigital number, since it uses as much as digits as its factorization.

151607011046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 151607011046400 in words is "one hundred fifty-one trillion, six hundred seven billion, eleven million, forty-six thousand, four hundred".