126972150 has 144 divisors (see below), whose sum is σ = 349464240. Its totient is φ = 30464000.

The previous prime is 126972137. The next prime is 126972199. The reversal of 126972150 is 51279621.

It is a super-2 number, since 2×126972150² = 32243853751245000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1257100 + ... + 1257200.

It is an arithmetic number, because the mean of its divisors is an integer number (2426835).

Almost surely, 2^126972150 is an apocalyptic number.

126972150 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 126972150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174732120).

126972150 is an abundant number, since it is smaller than the sum of its proper divisors (222492090).

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

126972150 is a wasteful number, since it uses less digits than its factorization.

126972150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 126972150 is about 11268.1919578964. The cubic root of 126972150 is about 502.6158243936.

The spelling of 126972150 in words is "one hundred twenty-six million, nine hundred seventy-two thousand, one hundred fifty".