9150940800 has 144 divisors (see below), whose sum is σ = 32652756630. Its totient is φ = 2440243200.

The previous prime is 9150940741. The next prime is 9150940847. The reversal of 9150940800 is 80490519.

It can be written as a sum of positive squares in 3 ways, for example, as 4416399936 + 4734540864 = 66456^2 + 68808^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×9150940800³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 130071 + ... + 187670.

Almost surely, 2^9150940800 is an apocalyptic number.

9150940800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9150940800 is an abundant number, since it is smaller than the sum of its proper divisors (23501815830).

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

9150940800 is a wasteful number, since it uses less digits than its factorization.

9150940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317771 (or 317751 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 9150940800 is about 95660.5498625217. The cubic root of 9150940800 is about 2091.6479146974.

The spelling of 9150940800 in words is "nine billion, one hundred fifty million, nine hundred forty thousand, eight hundred".