150974778240 has 1152 divisors, whose sum is σ = 650337760800. Its totient is φ = 31969935360.

The previous prime is 150974778223. The next prime is 150974778277. The reversal of 150974778240 is 42877479051.

150974778240 is a `hidden beast` number, since 1 + 5 + 0 + 97 + 477 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 172148682 + ... + 172149558.

Almost surely, 2^150974778240 is an apocalyptic number.

150974778240 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 150974778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325168880400).

150974778240 is an abundant number, since it is smaller than the sum of its proper divisors (499362982560).

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

150974778240 is a wasteful number, since it uses less digits than its factorization.

150974778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 150974778240 in words is "one hundred fifty billion, nine hundred seventy-four million, seven hundred seventy-eight thousand, two hundred forty".