152401336704000 has 1760 divisors, whose sum is σ = 614203332297984. Its totient is φ = 37433887948800.

The previous prime is 152401336703981. The next prime is 152401336704041. The reversal of 152401336704000 is 407633104251.

152401336704000 is a `hidden beast` number, since 1 + 5 + 240 + 1 + 3 + 3 + 6 + 7 + 0 + 400 + 0 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8284022802 + ... + 8284041198.

Almost surely, 2^{152401336704000} is an apocalyptic number.

152401336704000 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 152401336704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307101666148992).

152401336704000 is an abundant number, since it is smaller than the sum of its proper divisors (461801995593984).

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

152401336704000 is a wasteful number, since it uses less digits than its factorization.

152401336704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18508 (or 18471 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 152401336704000 its reverse (407633104251), we get a palindrome (152808969808251).

The spelling of 152401336704000 in words is "one hundred fifty-two trillion, four hundred one billion, three hundred thirty-six million, seven hundred four thousand".