149972000 has 48 divisors (see below), whose sum is σ = 368491032. Its totient is φ = 59987200.

The previous prime is 149971999. The next prime is 149972023. The reversal of 149972000 is 279941.

It can be written as a sum of positive squares in 4 ways, for example, as 26584336 + 123387664 = 5156^2 + 11108^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14747 + ... + 22746.

Almost surely, 2^149972000 is an apocalyptic number.

149972000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149972000 is an abundant number, since it is smaller than the sum of its proper divisors (218519032).

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

149972000 is an equidigital number, since it uses as much as digits as its factorization.

149972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37518 (or 37500 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 149972000 is about 12246.3055653532. The cubic root of 149972000 is about 531.2962220452.

The spelling of 149972000 in words is "one hundred forty-nine million, nine hundred seventy-two thousand".