149900608900 has 81 divisors (see below), whose sum is σ = 378460390917. Its totient is φ = 51385202400.

The previous prime is 149900608873. The next prime is 149900608931. The reversal of 149900608900 is 9806009941.

The square root of 149900608900 is 387170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53964219204 + 95936389696 = 232302^2 + 309736^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27099135 + ... + 27104665.

Almost surely, 2^149900608900 is an apocalyptic number.

149900608900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149900608900 is the 387170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149900608900

149900608900 is an abundant number, since it is smaller than the sum of its proper divisors (228559782017).

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

149900608900 is an frugal number, since it uses more digits than its factorization.

149900608900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11090 (or 5545 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 149900608900 in words is "one hundred forty-nine billion, nine hundred million, six hundred eight thousand, nine hundred".