152249400 has 144 divisors (see below), whose sum is σ = 524028960. Its totient is φ = 39590400.

The previous prime is 152249381. The next prime is 152249407. The reversal of 152249400 is 4942251.

152249400 is a `hidden beast` number, since 15 + 2 + 249 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152249407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72769 + ... + 74831.

It is an arithmetic number, because the mean of its divisors is an integer number (3639090).

Almost surely, 2^152249400 is an apocalyptic number.

152249400 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 152249400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262014480).

152249400 is an abundant number, since it is smaller than the sum of its proper divisors (371779560).

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

152249400 is a wasteful number, since it uses less digits than its factorization.

152249400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 152249400 is about 12338.9383660022. The cubic root of 152249400 is about 533.9720559379.

The spelling of 152249400 in words is "one hundred fifty-two million, two hundred forty-nine thousand, four hundred".