149936640 has 160 divisors (see below), whose sum is σ = 548000640. Its totient is φ = 34258944.

The previous prime is 149936603. The next prime is 149936653. The reversal of 149936640 is 46639941.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 149936592 and 149936601.

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 15 ways as a sum of consecutive naturals, for example, 52366 + ... + 55154.

It is an arithmetic number, because the mean of its divisors is an integer number (3425004).

Almost surely, 2^149936640 is an apocalyptic number.

149936640 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 149936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274000320).

149936640 is an abundant number, since it is smaller than the sum of its proper divisors (398064000).

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

149936640 is an equidigital number, since it uses as much as digits as its factorization.

149936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 149936640 is about 12244.8617795384. The cubic root of 149936640 is about 531.2544628922.

The spelling of 149936640 in words is "one hundred forty-nine million, nine hundred thirty-six thousand, six hundred forty".