149293440 has 96 divisors (see below), whose sum is σ = 515548800. Its totient is φ = 39810048.

The previous prime is 149293433. The next prime is 149293451. The reversal of 149293440 is 44392941.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 149293395 and 149293404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7200 + ... + 18719.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300).

Almost surely, 2^149293440 is an apocalyptic number.

149293440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149293440 is an abundant number, since it is smaller than the sum of its proper divisors (366255360).

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

149293440 is a wasteful number, since it uses less digits than its factorization.

149293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25944 (or 25929 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 149293440 is about 12218.5694743697. The cubic root of 149293440 is about 530.4937134359.

The spelling of 149293440 in words is "one hundred forty-nine million, two hundred ninety-three thousand, four hundred forty".