129772739520 has 448 divisors, whose sum is σ = 492011573760. Its totient is φ = 32081854464.

The previous prime is 129772739519. The next prime is 129772739527. The reversal of 129772739520 is 25937277921.

It is a happy number.

129772739520 is a `hidden beast` number, since 1 + 2 + 97 + 7 + 27 + 3 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129772739527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9834367 + ... + 9847553.

It is an arithmetic number, because the mean of its divisors is an integer number (1098240120).

Almost surely, 2^129772739520 is an apocalyptic number.

129772739520 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 129772739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246005786880).

129772739520 is an abundant number, since it is smaller than the sum of its proper divisors (362238834240).

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

129772739520 is a wasteful number, since it uses less digits than its factorization.

129772739520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13297 (or 13281 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 129772739520 in words is "one hundred twenty-nine billion, seven hundred seventy-two million, seven hundred thirty-nine thousand, five hundred twenty".