158416038144 has 288 divisors, whose sum is σ = 576573482240. Its totient is φ = 41779888128.

The previous prime is 158416038139. The next prime is 158416038167. The reversal of 158416038144 is 441830614851.

158416038144 is a `hidden beast` number, since 1 + 584 + 1 + 60 + 3 + 8 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×158416038144² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 158416038144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503064 + ... + 754920.

Almost surely, 2^158416038144 is an apocalyptic number.

158416038144 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 158416038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288286741120).

158416038144 is an abundant number, since it is smaller than the sum of its proper divisors (418157444096).

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

158416038144 is a wasteful number, since it uses less digits than its factorization.

158416038144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251902 (or 251882 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 158416038144 in words is "one hundred fifty-eight billion, four hundred sixteen million, thirty-eight thousand, one hundred forty-four".