91149552 has 240 divisors, whose sum is σ = 300605760. Its totient is φ = 25546752.

The previous prime is 91149533. The next prime is 91149589. The reversal of 91149552 is 25594119.

91149552 is a `hidden beast` number, since 91 + 14 + 9 + 552 = 666.

It is a super-3 number, since 3×91149552³ (a number of 25 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1248588 + ... + 1248660.

It is an arithmetic number, because the mean of its divisors is an integer number (1252524).

Almost surely, 2^91149552 is an apocalyptic number.

91149552 is a gapful number since it is divisible by the number (92) 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 91149552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150302880).

91149552 is an abundant number, since it is smaller than the sum of its proper divisors (209456208).

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

91149552 is a wasteful number, since it uses less digits than its factorization.

91149552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 91149552 is about 9547.2274509409. The cubic root of 91149552 is about 450.0404111857.

The spelling of 91149552 in words is "ninety-one million, one hundred forty-nine thousand, five hundred fifty-two".