149782500 has 240 divisors, whose sum is σ = 556321920. Its totient is φ = 34128000.

The previous prime is 149782447. The next prime is 149782519. The reversal of 149782500 is 5287941.

149782500 is a `hidden beast` number, since 149 + 7 + 8 + 2 + 500 = 666.

149782500 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

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

149782500 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 472342 + ... + 472658.

It is an arithmetic number, because the mean of its divisors is an integer number (2318008).

Almost surely, 2^149782500 is an apocalyptic number.

149782500 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 149782500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278160960).

149782500 is an abundant number, since it is smaller than the sum of its proper divisors (406539420).

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

149782500 is a wasteful number, since it uses less digits than its factorization.

149782500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 149782500 is about 12238.5660924800. The cubic root of 149782500 is about 531.0723512126.

The spelling of 149782500 in words is "one hundred forty-nine million, seven hundred eighty-two thousand, five hundred".