129653940 has 96 divisors (see below), whose sum is σ = 394684416. Its totient is φ = 31610880.

The previous prime is 129653939. The next prime is 129653941. The reversal of 129653940 is 49356921.

It is an interprime number because it is at equal distance from previous prime (129653939) and next prime (129653941).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129653941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87405 + ... + 88875.

It is an arithmetic number, because the mean of its divisors is an integer number (4111296).

Almost surely, 2^129653940 is an apocalyptic number.

129653940 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 129653940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197342208).

129653940 is an abundant number, since it is smaller than the sum of its proper divisors (265030476).

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

129653940 is a wasteful number, since it uses less digits than its factorization.

129653940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 129653940 is about 11386.5684031670. The cubic root of 129653940 is about 506.1297974029.

The spelling of 129653940 in words is "one hundred twenty-nine million, six hundred fifty-three thousand, nine hundred forty".