149835738024 has 192 divisors, whose sum is σ = 479361991680. Its totient is φ = 41375232000.

The previous prime is 149835738001. The next prime is 149835738043. The reversal of 149835738024 is 420837538941.

It is a happy number.

149835738024 is a `hidden beast` number, since 1 + 49 + 8 + 3 + 573 + 8 + 0 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12821464 + ... + 12833144.

It is an arithmetic number, because the mean of its divisors is an integer number (2496677040).

Almost surely, 2^149835738024 is an apocalyptic number.

149835738024 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 149835738024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239680995840).

149835738024 is an abundant number, since it is smaller than the sum of its proper divisors (329526253656).

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

149835738024 is a wasteful number, since it uses less digits than its factorization.

149835738024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12552 (or 12545 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 149835738024 in words is "one hundred forty-nine billion, eight hundred thirty-five million, seven hundred thirty-eight thousand, twenty-four".