151493800 has 72 divisors (see below), whose sum is σ = 374303610. Its totient is φ = 57011200.

The previous prime is 151493779. The next prime is 151493803. The reversal of 151493800 is 8394151.

It can be written as a sum of positive squares in 9 ways, for example, as 66227044 + 85266756 = 8138^2 + 9234^2 .

It is not an unprimeable number, because it can be changed into a prime (151493803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56490 + ... + 59110.

Almost surely, 2^151493800 is an apocalyptic number.

151493800 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 151493800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187151805).

151493800 is an abundant number, since it is smaller than the sum of its proper divisors (222809810).

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

151493800 is a wasteful number, since it uses less digits than its factorization.

151493800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 151493800 is about 12308.2817647306. The cubic root of 151493800 is about 533.0872388934.

The spelling of 151493800 in words is "one hundred fifty-one million, four hundred ninety-three thousand, eight hundred".