152225497670400 has 5184 divisors, whose sum is σ = 732289130496000. Its totient is φ = 30579462144000.

The previous prime is 152225497670387. The next prime is 152225497670413. The reversal of 152225497670400 is 4076794522251.

It is a happy number.

152225497670400 is a `hidden beast` number, since 1 + 5 + 2 + 22 + 549 + 7 + 6 + 70 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (152225497670387) and next prime (152225497670413).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 764952249501 + ... + 764952249699.

Almost surely, 2^{152225497670400} is an apocalyptic number.

152225497670400 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 152225497670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366144565248000).

152225497670400 is an abundant number, since it is smaller than the sum of its proper divisors (580063632825600).

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

152225497670400 is a wasteful number, since it uses less digits than its factorization.

152225497670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 152225497670400 in words is "one hundred fifty-two trillion, two hundred twenty-five billion, four hundred ninety-seven million, six hundred seventy thousand, four hundred".