90149752 has 32 divisors (see below), whose sum is σ = 210741120. Its totient is φ = 35123040.

The previous prime is 90149749. The next prime is 90149753. The reversal of 90149752 is 25794109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90149753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72558 + ... + 73789.

It is an arithmetic number, because the mean of its divisors is an integer number (6585660).

Almost surely, 2^90149752 is an apocalyptic number.

It is an amenable number.

90149752 is an abundant number, since it is smaller than the sum of its proper divisors (120591368).

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

90149752 is a wasteful number, since it uses less digits than its factorization.

90149752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146371 (or 146367 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 90149752 is about 9494.7223234806. The cubic root of 90149752 is about 448.3888922301.

It can be divided in two parts, 901 and 49752, that added together give a cube (50653 = 37³).

The spelling of 90149752 in words is "ninety million, one hundred forty-nine thousand, seven hundred fifty-two".