149368500 has 144 divisors (see below), whose sum is σ = 496292160. Its totient is φ = 37713600.

The previous prime is 149368493. The next prime is 149368501. The reversal of 149368500 is 5863941.

149368500 is a `hidden beast` number, since 1 + 4 + 93 + 68 + 500 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149368501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84627 + ... + 86373.

Almost surely, 2^149368500 is an apocalyptic number.

149368500 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 149368500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248146080).

149368500 is an abundant number, since it is smaller than the sum of its proper divisors (346923660).

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

149368500 is a wasteful number, since it uses less digits than its factorization.

149368500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 149368500 is about 12221.6406427288. The cubic root of 149368500 is about 530.5826036707.

It can be divided in two parts, 14936 and 8500, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 149368500 in words is "one hundred forty-nine million, three hundred sixty-eight thousand, five hundred".