149567040 has 224 divisors, whose sum is σ = 603260160. Its totient is φ = 34172928.

The previous prime is 149567039. The next prime is 149567083. The reversal of 149567040 is 40765941.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 149566986 and 149567004.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 59244 + ... + 61716.

Almost surely, 2^149567040 is an apocalyptic number.

149567040 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 149567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301630080).

149567040 is an abundant number, since it is smaller than the sum of its proper divisors (453693120).

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

149567040 is a wasteful number, since it uses less digits than its factorization.

149567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2490 counting only the distinct ones).

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

The square root of 149567040 is about 12229.7604228374. The cubic root of 149567040 is about 530.8175823336.

The spelling of 149567040 in words is "one hundred forty-nine million, five hundred sixty-seven thousand, forty".