90519051437136 has 240 divisors, whose sum is σ = 290822781150720. Its totient is φ = 25746014177280.

The previous prime is 90519051437119. The next prime is 90519051437137. The reversal of 90519051437136 is 63173415091509.

90519051437136 is a `hidden beast` number, since 9 + 0 + 5 + 1 + 90 + 514 + 3 + 7 + 1 + 36 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90519051437137) 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 47 ways as a sum of consecutive naturals, for example, 1152908121 + ... + 1152986631.

It is an arithmetic number, because the mean of its divisors is an integer number (1211761588128).

Almost surely, 2^{90519051437136} 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 90519051437136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145411390575360).

90519051437136 is an abundant number, since it is smaller than the sum of its proper divisors (200303729713584).

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

90519051437136 is a wasteful number, since it uses less digits than its factorization.

90519051437136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83674 (or 83665 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 90519051437136 in words is "ninety trillion, five hundred nineteen billion, fifty-one million, four hundred thirty-seven thousand, one hundred thirty-six".