149679239040 has 320 divisors, whose sum is σ = 565977954960. Its totient is φ = 37566332928.

The previous prime is 149679239029. The next prime is 149679239071. The reversal of 149679239040 is 40932976941.

149679239040 is a `hidden beast` number, since 1 + 496 + 7 + 9 + 23 + 90 + 40 = 666.

149679239040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 796359 + ... + 966201.

Almost surely, 2^149679239040 is an apocalyptic number.

149679239040 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 149679239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282988977480).

149679239040 is an abundant number, since it is smaller than the sum of its proper divisors (416298715920).

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

149679239040 is a wasteful number, since it uses less digits than its factorization.

149679239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169891 (or 169870 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 149679239040 in words is "one hundred forty-nine billion, six hundred seventy-nine million, two hundred thirty-nine thousand, forty".