149007456 has 72 divisors (see below), whose sum is σ = 456346800. Its totient is φ = 45847296.

The previous prime is 149007413. The next prime is 149007457. The reversal of 149007456 is 654700941.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 149007456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149007457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16156 + ... + 23643.

It is an arithmetic number, because the mean of its divisors is an integer number (6338150).

Almost surely, 2^149007456 is an apocalyptic number.

149007456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149007456 is an abundant number, since it is smaller than the sum of its proper divisors (307339344).

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

149007456 is a wasteful number, since it uses less digits than its factorization.

149007456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39828 (or 39817 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 149007456 is about 12206.8610215731. The cubic root of 149007456 is about 530.1547619720.

The spelling of 149007456 in words is "one hundred forty-nine million, seven thousand, four hundred fifty-six".