158053147200 has 504 divisors, whose sum is σ = 614932344936. Its totient is φ = 38264832000.

The previous prime is 158053147181. The next prime is 158053147223. The reversal of 158053147200 is 2741350851.

158053147200 is a `hidden beast` number, since 1 + 5 + 80 + 531 + 47 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 128754662976 + 29298484224 = 358824^2 + 171168^2 .

It is a super-5 number, since 5×158053147200⁵ (a number of 57 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11412280 + ... + 11426120.

It is an arithmetic number, because the mean of its divisors is an integer number (1220103859).

Almost surely, 2^158053147200 is an apocalyptic number.

158053147200 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 158053147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307466172468).

158053147200 is an abundant number, since it is smaller than the sum of its proper divisors (456879197736).

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

158053147200 is a wasteful number, since it uses less digits than its factorization.

158053147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13943 (or 13925 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 158053147200 in words is "one hundred fifty-eight billion, fifty-three million, one hundred forty-seven thousand, two hundred".