158934138854400 has 2640 divisors, whose sum is σ = 726883860580416. Its totient is φ = 33414992363520.

The previous prime is 158934138854389. The next prime is 158934138854401. The reversal of 158934138854400 is 4458831439851.

It is a happy number.

158934138854400 is a `hidden beast` number, since 1 + 5 + 8 + 9 + 3 + 4 + 1 + 3 + 88 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158934138854401) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 59817137872 + ... + 59817140528.

Almost surely, 2^{158934138854400} is an apocalyptic number.

158934138854400 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 158934138854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363441930290208).

158934138854400 is an abundant number, since it is smaller than the sum of its proper divisors (567949721726016).

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

158934138854400 is a wasteful number, since it uses less digits than its factorization.

158934138854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 158934138854400 in words is "one hundred fifty-eight trillion, nine hundred thirty-four billion, one hundred thirty-eight million, eight hundred fifty-four thousand, four hundred".