90136854577152 has 300 divisors, whose sum is σ = 271345713476376. Its totient is φ = 29816204820480.

The previous prime is 90136854577139. The next prime is 90136854577153. The reversal of 90136854577152 is 25177545863109.

90136854577152 is a `hidden beast` number, since 9 + 0 + 1 + 3 + 6 + 8 + 5 + 4 + 577 + 1 + 52 = 666.

It is a super-2 number, since 2×90136854577152² (a number of 29 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 90136854577152.

It is not an unprimeable number, because it can be changed into a prime (90136854577153) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173591388 + ... + 174109860.

It is a 1-persistent number, because it is pandigital, but 2⋅90136854577152 = 180273709154304 is not.

Almost surely, 2^{90136854577152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90136854577152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135672856738188).

90136854577152 is an abundant number, since it is smaller than the sum of its proper divisors (181208858899224).

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

90136854577152 is an equidigital number, since it uses as much as digits as its factorization.

90136854577152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518644 (or 518609 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 90136854577152 in words is "ninety trillion, one hundred thirty-six billion, eight hundred fifty-four million, five hundred seventy-seven thousand, one hundred fifty-two".