90165150 has 144 divisors (see below), whose sum is σ = 258764688. Its totient is φ = 23328000.

The previous prime is 90165133. The next prime is 90165167. The reversal of 90165150 is 5156109.

90165150 is a `hidden beast` number, since 9 + 0 + 1 + 651 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90165133) and next prime (90165167).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 498060 + ... + 498240.

It is an arithmetic number, because the mean of its divisors is an integer number (1796977).

Almost surely, 2^90165150 is an apocalyptic number.

90165150 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90165150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129382344).

90165150 is an abundant number, since it is smaller than the sum of its proper divisors (168599538).

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

90165150 is a wasteful number, since it uses less digits than its factorization.

90165150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 90165150 is about 9495.5331603865. The cubic root of 90165150 is about 448.4144197512.

The spelling of 90165150 in words is "ninety million, one hundred sixty-five thousand, one hundred fifty".