152022042400 has 72 divisors (see below), whose sum is σ = 371206530324. Its totient is φ = 60795264000.

The previous prime is 152022042371. The next prime is 152022042401. The reversal of 152022042400 is 4240220251.

It can be written as a sum of positive squares in 6 ways, for example, as 54660569616 + 97361472784 = 233796^2 + 312028^2 .

It is a super-2 number, since 2×152022042400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152022042401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4062174 + ... + 4099426.

Almost surely, 2^152022042400 is an apocalyptic number.

152022042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152022042400 is an abundant number, since it is smaller than the sum of its proper divisors (219184487924).

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

152022042400 is a wasteful number, since it uses less digits than its factorization.

152022042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42374 (or 42361 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 152022042400 its reverse (4240220251), we get a palindrome (156262262651).

The spelling of 152022042400 in words is "one hundred fifty-two billion, twenty-two million, forty-two thousand, four hundred".