152031400 has 48 divisors (see below), whose sum is σ = 354469500. Its totient is φ = 60641280.

The previous prime is 152031379. The next prime is 152031431. The reversal of 152031400 is 4130251.

It can be written as a sum of positive squares in 6 ways, for example, as 54140164 + 97891236 = 7358^2 + 9894^2 .

It is a super-2 number, since 2×152031400² = 46227093171920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88954 + ... + 90646.

Almost surely, 2^152031400 is an apocalyptic number.

152031400 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 152031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177234750).

152031400 is an abundant number, since it is smaller than the sum of its proper divisors (202438100).

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

152031400 is a wasteful number, since it uses less digits than its factorization.

152031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 152031400 is about 12330.1013783342. The cubic root of 152031400 is about 533.7170762544.

Adding to 152031400 its reverse (4130251), we get a palindrome (156161651).

The spelling of 152031400 in words is "one hundred fifty-two million, thirty-one thousand, four hundred".