152678400 has 312 divisors, whose sum is σ = 585033984. Its totient is φ = 34406400.

The previous prime is 152678399. The next prime is 152678401. The reversal of 152678400 is 4876251.

It is an interprime number because it is at equal distance from previous prime (152678399) and next prime (152678401).

It is not an unprimeable number, because it can be changed into a prime (152678401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2150365 + ... + 2150435.

Almost surely, 2^152678400 is an apocalyptic number.

152678400 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 152678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292516992).

152678400 is an abundant number, since it is smaller than the sum of its proper divisors (432355584).

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

152678400 is an equidigital number, since it uses as much as digits as its factorization.

152678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 152678400 is about 12356.3101288370. The cubic root of 152678400 is about 534.4731179909.

The spelling of 152678400 in words is "one hundred fifty-two million, six hundred seventy-eight thousand, four hundred".