149692032 has 192 divisors, whose sum is σ = 518731200. Its totient is φ = 40476672.

The previous prime is 149692009. The next prime is 149692057. The reversal of 149692032 is 230296941.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152728 + ... + 153704.

It is an arithmetic number, because the mean of its divisors is an integer number (2701725).

Almost surely, 2^149692032 is an apocalyptic number.

149692032 is a gapful number since it is divisible by the number (12) 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 149692032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259365600).

149692032 is an abundant number, since it is smaller than the sum of its proper divisors (369039168).

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

149692032 is a wasteful number, since it uses less digits than its factorization.

149692032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 149692032 is about 12234.8695129944. The cubic root of 149692032 is about 530.9654078564.

It can be divided in two parts, 1496 and 92032, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 149692032 in words is "one hundred forty-nine million, six hundred ninety-two thousand, thirty-two".