152404200 has 288 divisors, whose sum is σ = 571838400. Its totient is φ = 37290240.

The previous prime is 152404181. The next prime is 152404207. The reversal of 152404200 is 2404251.

152404200 is a `hidden beast` number, since 1 + 5 + 240 + 420 + 0 = 666.

152404200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (152404207) 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, 912517 + ... + 912683.

It is an arithmetic number, because the mean of its divisors is an integer number (1985550).

Almost surely, 2^152404200 is an apocalyptic number.

152404200 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 152404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285919200).

152404200 is an abundant number, since it is smaller than the sum of its proper divisors (419434200).

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

152404200 is a wasteful number, since it uses less digits than its factorization.

152404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 152404200 is about 12345.2095972486. The cubic root of 152404200 is about 534.1529671610.

Adding to 152404200 its reverse (2404251), we get a palindrome (154808451).

The spelling of 152404200 in words is "one hundred fifty-two million, four hundred four thousand, two hundred".