149959434240 has 1120 divisors, whose sum is σ = 671395785984. Its totient is φ = 31107317760.

The previous prime is 149959434203. The next prime is 149959434301. The reversal of 149959434240 is 42434959941.

149959434240 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 594 + 3 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 255467227 + ... + 255467813.

Almost surely, 2^149959434240 is an apocalyptic number.

149959434240 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 149959434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335697892992).

149959434240 is an abundant number, since it is smaller than the sum of its proper divisors (521436351744).

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

149959434240 is an equidigital number, since it uses as much as digits as its factorization.

149959434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 149959434240 in words is "one hundred forty-nine billion, nine hundred fifty-nine million, four hundred thirty-four thousand, two hundred forty".