157129400 has 48 divisors (see below), whose sum is σ = 367041240. Its totient is φ = 62556800.

The previous prime is 157129387. The next prime is 157129403. The reversal of 157129400 is 4921751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157129403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43670 + ... + 47130.

Almost surely, 2^157129400 is an apocalyptic number.

157129400 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 157129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183520620).

157129400 is an abundant number, since it is smaller than the sum of its proper divisors (209911840).

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

157129400 is a wasteful number, since it uses less digits than its factorization.

157129400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 157129400 is about 12535.1266447531. The cubic root of 157129400 is about 539.6172413343.

The spelling of 157129400 in words is "one hundred fifty-seven million, one hundred twenty-nine thousand, four hundred".