90148500 has 288 divisors, whose sum is σ = 324350208. Its totient is φ = 20908800.

The previous prime is 90148493. The next prime is 90148507. The reversal of 90148500 is 584109.

It is an interprime number because it is at equal distance from previous prime (90148493) and next prime (90148507).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90148507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1345467 + ... + 1345533.

It is an arithmetic number, because the mean of its divisors is an integer number (1126216).

Almost surely, 2^90148500 is an apocalyptic number.

90148500 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 90148500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162175104).

90148500 is an abundant number, since it is smaller than the sum of its proper divisors (234201708).

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

90148500 is a wasteful number, since it uses less digits than its factorization.

90148500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 90148500 is about 9494.6563918870. The cubic root of 90148500 is about 448.3868164784.

The spelling of 90148500 in words is "ninety million, one hundred forty-eight thousand, five hundred".