158077808100 has 243 divisors, whose sum is σ = 514286345937. Its totient is φ = 40611432960.

The previous prime is 158077808069. The next prime is 158077808101. The reversal of 158077808100 is 1808770851.

The square root of 158077808100 is 397590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 35533004004 + 122544804096 = 188502^2 + 350064^2 .

It is a super-2 number, since 2×158077808100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (158077808101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 345903072 + ... + 345903528.

Almost surely, 2^158077808100 is an apocalyptic number.

158077808100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

158077808100 is the 397590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158077808100

158077808100 is an abundant number, since it is smaller than the sum of its proper divisors (356208537837).

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

158077808100 is a wasteful number, since it uses less digits than its factorization.

158077808100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 45.

The spelling of 158077808100 in words is "one hundred fifty-eight billion, seventy-seven million, eight hundred eight thousand, one hundred".