129257153406 has 96 divisors (see below), whose sum is σ = 305882304000. Its totient is φ = 40795773120.

The previous prime is 129257153341. The next prime is 129257153413. The reversal of 129257153406 is 604351752921.

129257153406 is a `hidden beast` number, since 1 + 2 + 92 + 5 + 7 + 153 + 406 = 666.

It is a super-3 number, since 3×129257153406³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28152171 + ... + 28156761.

It is an arithmetic number, because the mean of its divisors is an integer number (3186274000).

Almost surely, 2^129257153406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129257153406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152941152000).

129257153406 is an abundant number, since it is smaller than the sum of its proper divisors (176625150594).

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

129257153406 is a wasteful number, since it uses less digits than its factorization.

129257153406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7676 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 129257153406 in words is "one hundred twenty-nine billion, two hundred fifty-seven million, one hundred fifty-three thousand, four hundred six".