152154400 has 72 divisors (see below), whose sum is σ = 375796260. Its totient is φ = 60149760.

The previous prime is 152154391. The next prime is 152154427. The reversal of 152154400 is 4451251.

It can be written as a sum of positive squares in 6 ways, for example, as 5550736 + 146603664 = 2356^2 + 12108^2 .

It is a super-2 number, since 2×152154400² = 46301922878720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70132 + ... + 72268.

Almost surely, 2^152154400 is an apocalyptic number.

152154400 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 152154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187898130).

152154400 is an abundant number, since it is smaller than the sum of its proper divisors (223641860).

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

152154400 is a wasteful number, since it uses less digits than its factorization.

152154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 152154400 is about 12335.0881634466. The cubic root of 152154400 is about 533.8609708808.

The spelling of 152154400 in words is "one hundred fifty-two million, one hundred fifty-four thousand, four hundred".