150097638690 has 96 divisors (see below), whose sum is σ = 398889204480. Its totient is φ = 39149839872.

The previous prime is 150097638683. The next prime is 150097638731. The reversal of 150097638690 is 96836790051.

150097638690 is a `hidden beast` number, since 1 + 500 + 9 + 76 + 3 + 8 + 69 + 0 = 666.

It is a super-4 number, since 4×150097638690⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 662122 + ... + 859418.

It is an arithmetic number, because the mean of its divisors is an integer number (4155095880).

Almost surely, 2^150097638690 is an apocalyptic number.

150097638690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150097638690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199444602240).

150097638690 is an abundant number, since it is smaller than the sum of its proper divisors (248791565790).

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

150097638690 is a wasteful number, since it uses less digits than its factorization.

150097638690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197496 (or 197493 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 150097638690 in words is "one hundred fifty billion, ninety-seven million, six hundred thirty-eight thousand, six hundred ninety".