157410000 has 400 divisors, whose sum is σ = 627549120. Its totient is φ = 37440000.

The previous prime is 157409983. The next prime is 157410013. The reversal of 157410000 is 14751.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2969974 + ... + 2970026.

Almost surely, 2^157410000 is an apocalyptic number.

157410000 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 157410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313774560).

157410000 is an abundant number, since it is smaller than the sum of its proper divisors (470139120).

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

157410000 is a wasteful number, since it uses less digits than its factorization.

157410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 157410000 is about 12546.3141997959. The cubic root of 157410000 is about 539.9382645473.

Adding to 157410000 its reverse (14751), we get a palindrome (157424751).

The spelling of 157410000 in words is "one hundred fifty-seven million, four hundred ten thousand".