129477628900 has 27 divisors (see below), whose sum is σ = 280974263241. Its totient is φ = 51789612240.

The previous prime is 129477628883. The next prime is 129477628913. The reversal of 129477628900 is 9826774921.

The square root of 129477628900 is 359830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46611946404 + 82865682496 = 215898^2 + 287864^2 .

It is a super-2 number, since 2×129477628900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3580309 + ... + 3616291.

Almost surely, 2^129477628900 is an apocalyptic number.

129477628900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129477628900 is the 359830-th square number.

It is an amenable number.

129477628900 is an abundant number, since it is smaller than the sum of its proper divisors (151496634341).

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

129477628900 is an frugal number, since it uses more digits than its factorization.

129477628900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71980 (or 35990 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The spelling of 129477628900 in words is "one hundred twenty-nine billion, four hundred seventy-seven million, six hundred twenty-eight thousand, nine hundred".