151344400 has 30 divisors (see below), whose sum is σ = 363605882. Its totient is φ = 60537600.

The previous prime is 151344383. The next prime is 151344419. The reversal of 151344400 is 4443151.

It can be written as a sum of positive squares in 3 ways, for example, as 21566736 + 129777664 = 4644^2 + 11392^2 .

It is a super-2 number, since 2×151344400² = 45810254822720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 188781 + ... + 189580.

Almost surely, 2^151344400 is an apocalyptic number.

151344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151344400 is an abundant number, since it is smaller than the sum of its proper divisors (212261482).

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

151344400 is a wasteful number, since it uses less digits than its factorization.

151344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378379 (or 378368 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 151344400 is about 12302.2111833605. The cubic root of 151344400 is about 532.9119414474.

Adding to 151344400 its reverse (4443151), we get a palindrome (155787551).

The spelling of 151344400 in words is "one hundred fifty-one million, three hundred forty-four thousand, four hundred".