149198976 has 128 divisors (see below), whose sum is σ = 459734400. Its totient is φ = 47545344.

The previous prime is 149198897. The next prime is 149198983. The reversal of 149198976 is 679891941.

149198976 is a `hidden beast` number, since 1 + 491 + 9 + 89 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78550 + ... + 80426.

It is an arithmetic number, because the mean of its divisors is an integer number (3591675).

Almost surely, 2^149198976 is an apocalyptic number.

149198976 is a gapful number since it is divisible by the number (16) 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 149198976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229867200).

149198976 is an abundant number, since it is smaller than the sum of its proper divisors (310535424).

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

149198976 is a wasteful number, since it uses less digits than its factorization.

149198976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1905 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The square root of 149198976 is about 12214.7032710582. The cubic root of 149198976 is about 530.3818015500.

The spelling of 149198976 in words is "one hundred forty-nine million, one hundred ninety-eight thousand, nine hundred seventy-six".