149115531264 has 416 divisors, whose sum is σ = 499228999680. Its totient is φ = 38597492736.

The previous prime is 149115531211. The next prime is 149115531289. The reversal of 149115531264 is 462135511941.

149115531264 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 2×149115531264² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37587009 + ... + 37590975.

Almost surely, 2^149115531264 is an apocalyptic number.

149115531264 is a gapful number since it is divisible by the number (14) 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 149115531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249614499840).

149115531264 is an abundant number, since it is smaller than the sum of its proper divisors (350113468416).

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

149115531264 is a wasteful number, since it uses less digits than its factorization.

149115531264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4021 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The spelling of 149115531264 in words is "one hundred forty-nine billion, one hundred fifteen million, five hundred thirty-one thousand, two hundred sixty-four".