90416139132 has 96 divisors (see below), whose sum is σ = 246647729664. Its totient is φ = 25499232000.

The previous prime is 90416139131. The next prime is 90416139133. The reversal of 90416139132 is 23193161409.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90416139131) and next prime (90416139133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90416139131) 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 31 ways as a sum of consecutive naturals, for example, 290119 + ... + 514782.

It is an arithmetic number, because the mean of its divisors is an integer number (2569247184).

Almost surely, 2^90416139132 is an apocalyptic number.

90416139132 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

90416139132 is an abundant number, since it is smaller than the sum of its proper divisors (156231590532).

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

90416139132 is a wasteful number, since it uses less digits than its factorization.

90416139132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804979 (or 804977 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 90416139132 in words is "ninety billion, four hundred sixteen million, one hundred thirty-nine thousand, one hundred thirty-two".