152315400 has 192 divisors, whose sum is σ = 514252800. Its totient is φ = 37152000.

The previous prime is 152315389. The next prime is 152315437. The reversal of 152315400 is 4513251.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353185 + ... + 353615.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 2^152315400 is an apocalyptic number.

152315400 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 152315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257126400).

152315400 is an abundant number, since it is smaller than the sum of its proper divisors (361937400).

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

152315400 is a wasteful number, since it uses less digits than its factorization.

152315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 152315400 is about 12341.6125364557. The cubic root of 152315400 is about 534.0492036189.

Adding to 152315400 its reverse (4513251), we get a palindrome (156828651).

The spelling of 152315400 in words is "one hundred fifty-two million, three hundred fifteen thousand, four hundred".