129857742000 has 1920 divisors, whose sum is σ = 591462144000. Its totient is φ = 27433728000.

The previous prime is 129857741977. The next prime is 129857742037. The reversal of 129857742000 is 247758921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3167261980 + ... + 3167262020.

It is an arithmetic number, because the mean of its divisors is an integer number (308053200).

Almost surely, 2^129857742000 is an apocalyptic number.

129857742000 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 129857742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295731072000).

129857742000 is an abundant number, since it is smaller than the sum of its proper divisors (461604402000).

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

129857742000 is an equidigital number, since it uses as much as digits as its factorization.

129857742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 129857742000 in words is "one hundred twenty-nine billion, eight hundred fifty-seven million, seven hundred forty-two thousand".