127150920 has 192 divisors, whose sum is σ = 451105200. Its totient is φ = 30873600.

The previous prime is 127150897. The next prime is 127150931. The reversal of 127150920 is 29051721.

It can be written as a sum of positive squares in 8 ways, for example, as 34644996 + 92505924 = 5886^2 + 9618^2 .

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, 472546 + ... + 472814.

Almost surely, 2^127150920 is an apocalyptic number.

127150920 is a gapful number since it is divisible by the number (10) 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 127150920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225552600).

127150920 is an abundant number, since it is smaller than the sum of its proper divisors (323954280).

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

127150920 is a wasteful number, since it uses less digits than its factorization.

127150920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 127150920 is about 11276.1216736961. The cubic root of 127150920 is about 502.8515991801.

The spelling of 127150920 in words is "one hundred twenty-seven million, one hundred fifty thousand, nine hundred twenty".