10151125272 has 192 divisors, whose sum is σ = 29629061280. Its totient is φ = 3128426496.

The previous prime is 10151125267. The next prime is 10151125273. The reversal of 10151125272 is 27252115101.

10151125272 is a `hidden beast` number, since 10 + 15 + 112 + 527 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151125273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22914283 + ... + 22914725.

Almost surely, 2^10151125272 is an apocalyptic number.

10151125272 is a gapful number since it is divisible by the number (12) 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 10151125272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14814530640).

10151125272 is an abundant number, since it is smaller than the sum of its proper divisors (19477936008).

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

10151125272 is a wasteful number, since it uses less digits than its factorization.

10151125272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The spelling of 10151125272 in words is "ten billion, one hundred fifty-one million, one hundred twenty-five thousand, two hundred seventy-two".