129015152640 has 816 divisors, whose sum is σ = 504960988896. Its totient is φ = 30198988800.

The previous prime is 129015152611. The next prime is 129015152647. The reversal of 129015152640 is 46251510921.

129015152640 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 1 + 5 + 1 + 5 + 2 + 640 = 666.

It is a super-2 number, since 2×129015152640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 129015152595 and 129015152604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129015152647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1330053072 + ... + 1330053168.

Almost surely, 2^129015152640 is an apocalyptic number.

129015152640 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 129015152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252480494448).

129015152640 is an abundant number, since it is smaller than the sum of its proper divisors (375945836256).

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

129015152640 is an equidigital number, since it uses as much as digits as its factorization.

129015152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 129015152640 in words is "one hundred twenty-nine billion, fifteen million, one hundred fifty-two thousand, six hundred forty".