152161298150400 has 4224 divisors, whose sum is σ = 721644131819520. Its totient is φ = 30502158336000.

The previous prime is 152161298150369. The next prime is 152161298150447. The reversal of 152161298150400 is 4051892161251.

152161298150400 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 6 + 1 + 2 + 98 + 150 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×152161298150400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 224758194862 + ... + 224758195538.

Almost surely, 2^{152161298150400} is an apocalyptic number.

152161298150400 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 152161298150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360822065909760).

152161298150400 is an abundant number, since it is smaller than the sum of its proper divisors (569482833669120).

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

152161298150400 is a wasteful number, since it uses less digits than its factorization.

152161298150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 152161298150400 in words is "one hundred fifty-two trillion, one hundred sixty-one billion, two hundred ninety-eight million, one hundred fifty thousand, four hundred".