152400000 has 192 divisors, whose sum is σ = 509967360. Its totient is φ = 40320000.

The previous prime is 152399977. The next prime is 152400037. The reversal of 152400000 is 4251.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199937 + ... + 1200063.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080).

Almost surely, 2^152400000 is an apocalyptic number.

152400000 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 152400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254983680).

152400000 is an abundant number, since it is smaller than the sum of its proper divisors (357567360).

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

152400000 is an frugal number, since it uses more digits than its factorization.

152400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 152400000 is about 12345.0394896088. The cubic root of 152400000 is about 534.1480603341.

Adding to 152400000 its reverse (4251), we get a palindrome (152404251).

It can be divided in two parts, 15 and 2400000, that multiplied together give a square (36000000 = 6000²).

The spelling of 152400000 in words is "one hundred fifty-two million, four hundred thousand".