151504400 has 30 divisors (see below), whose sum is σ = 363990282. Its totient is φ = 60601600.

The previous prime is 151504399. The next prime is 151504469. The reversal of 151504400 is 4405151.

It can be written as a sum of positive squares in 3 ways, for example, as 8271376 + 143233024 = 2876^2 + 11968^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 188981 + ... + 189780.

Almost surely, 2^151504400 is an apocalyptic number.

151504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151504400 is an abundant number, since it is smaller than the sum of its proper divisors (212485882).

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

151504400 is a wasteful number, since it uses less digits than its factorization.

151504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378779 (or 378768 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 151504400 is about 12308.7123615754. The cubic root of 151504400 is about 533.0996719499.

Adding to 151504400 its reverse (4405151), we get a palindrome (155909551).

The spelling of 151504400 in words is "one hundred fifty-one million, five hundred four thousand, four hundred".