154964938752 has 1040 divisors, whose sum is σ = 550581982720. Its totient is φ = 42998169600.

The previous prime is 154964938729. The next prime is 154964938781. The reversal of 154964938752 is 257839469451.

154964938752 is a `hidden beast` number, since 1 + 5 + 4 + 96 + 493 + 8 + 7 + 52 = 666.

It is a super-2 number, since 2×154964938752² (a number of 23 digits) contains 22 as substring.

Its product of digits (65318400) is a multiple of the sum of its prime factors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 154964938752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2540408802 + ... + 2540408862.

Almost surely, 2^154964938752 is an apocalyptic number.

154964938752 is a gapful number since it is divisible by the number (12) 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 154964938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275290991360).

154964938752 is an abundant number, since it is smaller than the sum of its proper divisors (395617043968).

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

154964938752 is a wasteful number, since it uses less digits than its factorization.

154964938752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 129 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 154964938752 in words is "one hundred fifty-four billion, nine hundred sixty-four million, nine hundred thirty-eight thousand, seven hundred fifty-two".