149610240 has 432 divisors, whose sum is σ = 593724768. Its totient is φ = 35831808.

The previous prime is 149610221. The next prime is 149610257. The reversal of 149610240 is 42016941.

149610240 is a `hidden beast` number, since 1 + 4 + 9 + 610 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4043502 + ... + 4043538.

Almost surely, 2^149610240 is an apocalyptic number.

149610240 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 149610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296862384).

149610240 is an abundant number, since it is smaller than the sum of its proper divisors (444114528).

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

149610240 is an equidigital number, since it uses as much as digits as its factorization.

149610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 149610240 is about 12231.5264787352. The cubic root of 149610240 is about 530.8686834143.

The spelling of 149610240 in words is "one hundred forty-nine million, six hundred ten thousand, two hundred forty".