152154916454400 has 1632 divisors, whose sum is σ = 564505390771200. Its totient is φ = 35936796672000.

The previous prime is 152154916454399. The next prime is 152154916454441. The reversal of 152154916454400 is 4454619451251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a super-2 number, since 2×152154916454400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 95 ways as a sum of consecutive naturals, for example, 379438694200 + ... + 379438694600.

Almost surely, 2^{152154916454400} is an apocalyptic number.

152154916454400 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 152154916454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282252695385600).

152154916454400 is an abundant number, since it is smaller than the sum of its proper divisors (412350474316800).

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

152154916454400 is a wasteful number, since it uses less digits than its factorization.

152154916454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 152154916454400 in words is "one hundred fifty-two trillion, one hundred fifty-four billion, nine hundred sixteen million, four hundred fifty-four thousand, four hundred".