151552554134400 has 1152 divisors, whose sum is σ = 575207438832000. Its totient is φ = 37887458918400.

The previous prime is 151552554134357. The next prime is 151552554134407. The reversal of 151552554134400 is 4431455255151.

151552554134400 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 52 + 554 + 1 + 3 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151552554134407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20667193134 + ... + 20667200466.

It is an arithmetic number, because the mean of its divisors is an integer number (499312012875).

Almost surely, 2^{151552554134400} is an apocalyptic number.

151552554134400 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 151552554134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287603719416000).

151552554134400 is an abundant number, since it is smaller than the sum of its proper divisors (423654884697600).

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

151552554134400 is a wasteful number, since it uses less digits than its factorization.

151552554134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 151552554134400 in words is "one hundred fifty-one trillion, five hundred fifty-two billion, five hundred fifty-four million, one hundred thirty-four thousand, four hundred".