150776890000 has 225 divisors, whose sum is σ = 402388732669. Its totient is φ = 54672640000.

The previous prime is 150776889979. The next prime is 150776890001. The reversal of 150776890000 is 98677051.

The square root of 150776890000 is 388300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 127115067024 + 23661822976 = 356532^2 + 153824^2 .

It is not an unprimeable number, because it can be changed into a prime (150776890001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 427129824 + ... + 427130176.

Almost surely, 2^150776890000 is an apocalyptic number.

150776890000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150776890000 is the 388300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150776890000

150776890000 is an abundant number, since it is smaller than the sum of its proper divisors (251611842669).

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

150776890000 is an frugal number, since it uses more digits than its factorization.

150776890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 150776890000 in words is "one hundred fifty billion, seven hundred seventy-six million, eight hundred ninety thousand".