90134940672 has 352 divisors, whose sum is σ = 318349440000. Its totient is φ = 24631934976.

The previous prime is 90134940671. The next prime is 90134940683. The reversal of 90134940672 is 27604943109.

It is a happy number.

90134940672 is a `hidden beast` number, since 90 + 1 + 3 + 494 + 0 + 6 + 72 = 666.

It is a super-3 number, since 3×90134940672³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (90134940671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4441204 + ... + 4461452.

Almost surely, 2^90134940672 is an apocalyptic number.

90134940672 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 90134940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159174720000).

90134940672 is an abundant number, since it is smaller than the sum of its proper divisors (228214499328).

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

90134940672 is a wasteful number, since it uses less digits than its factorization.

90134940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20308 (or 20284 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 90134940672 in words is "ninety billion, one hundred thirty-four million, nine hundred forty thousand, six hundred seventy-two".