149002465920 has 512 divisors, whose sum is σ = 594758246400. Its totient is φ = 30824693760.

The previous prime is 149002465907. The next prime is 149002466021. The reversal of 149002465920 is 29564200941.

149002465920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×149002465920² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35331652 + ... + 35335868.

It is an arithmetic number, because the mean of its divisors is an integer number (1161637200).

Almost surely, 2^149002465920 is an apocalyptic number.

149002465920 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 149002465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297379123200).

149002465920 is an abundant number, since it is smaller than the sum of its proper divisors (445755780480).

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

149002465920 is a wasteful number, since it uses less digits than its factorization.

149002465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 149002465920 in words is "one hundred forty-nine billion, two million, four hundred sixty-five thousand, nine hundred twenty".