129972150 has 288 divisors, whose sum is σ = 453113856. Its totient is φ = 26136000.

The previous prime is 129972133. The next prime is 129972169. The reversal of 129972150 is 51279921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4192635 + ... + 4192665.

It is an arithmetic number, because the mean of its divisors is an integer number (1573312).

Almost surely, 2^129972150 is an apocalyptic number.

129972150 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 129972150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226556928).

129972150 is an abundant number, since it is smaller than the sum of its proper divisors (323141706).

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

129972150 is a wasteful number, since it uses less digits than its factorization.

129972150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 129972150 is about 11400.5328822823. The cubic root of 129972150 is about 506.5435243401.

It can be divided in two parts, 129 and 972150, that added together give a palindrome (972279).

The spelling of 129972150 in words is "one hundred twenty-nine million, nine hundred seventy-two thousand, one hundred fifty".