90134985600 has 960 divisors, whose sum is σ = 367619305680. Its totient is φ = 21565440000.

The previous prime is 90134985581. The next prime is 90134985617. The reversal of 90134985600 is 658943109.

It is a happy number.

90134985600 is a `hidden beast` number, since 9 + 0 + 1 + 34 + 9 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×90134985600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 287971044 + ... + 287971356.

Almost surely, 2^90134985600 is an apocalyptic number.

90134985600 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 90134985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183809652840).

90134985600 is an abundant number, since it is smaller than the sum of its proper divisors (277484320080).

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

90134985600 is a wasteful number, since it uses less digits than its factorization.

90134985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 90134985600 in words is "ninety billion, one hundred thirty-four million, nine hundred eighty-five thousand, six hundred".