91157134320 has 960 divisors, whose sum is σ = 382798356480. Its totient is φ = 20163790080.

The previous prime is 91157134303. The next prime is 91157134337. The reversal of 91157134320 is 2343175119.

It is an interprime number because it is at equal distance from previous prime (91157134303) and next prime (91157134337).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2940552705 + ... + 2940552735.

It is an arithmetic number, because the mean of its divisors is an integer number (398748288).

Almost surely, 2^91157134320 is an apocalyptic number.

91157134320 is a gapful number since it is divisible by the number (90) 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 91157134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191399178240).

91157134320 is an abundant number, since it is smaller than the sum of its proper divisors (291641222160).

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

91157134320 is an frugal number, since it uses more digits than its factorization.

91157134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 91157134320 in words is "ninety-one billion, one hundred fifty-seven million, one hundred thirty-four thousand, three hundred twenty".