152027798400 has 576 divisors, whose sum is σ = 566034552720. Its totient is φ = 40290877440.

The previous prime is 152027798389. The next prime is 152027798401. The reversal of 152027798400 is 4897720251.

It is a happy number.

152027798400 is a `hidden beast` number, since 152 + 0 + 2 + 7 + 7 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×152027798400² (a number of 23 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 not an unprimeable number, because it can be changed into a prime (152027798401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150076294 + ... + 150077306.

Almost surely, 2^152027798400 is an apocalyptic number.

152027798400 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 152027798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283017276360).

152027798400 is an abundant number, since it is smaller than the sum of its proper divisors (414006754320).

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

152027798400 is a wasteful number, since it uses less digits than its factorization.

152027798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 152027798400 in words is "one hundred fifty-two billion, twenty-seven million, seven hundred ninety-eight thousand, four hundred".