157714200 has 144 divisors (see below), whose sum is σ = 605370480. Its totient is φ = 36046080.

The previous prime is 157714199. The next prime is 157714201. The reversal of 157714200 is 2417751.

It is an interprime number because it is at equal distance from previous prime (157714199) and next prime (157714201).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157714201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6342 + ... + 18858.

Almost surely, 2^157714200 is an apocalyptic number.

157714200 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 157714200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302685240).

157714200 is an abundant number, since it is smaller than the sum of its proper divisors (447656280).

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

157714200 is a wasteful number, since it uses less digits than its factorization.

157714200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12546 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 157714200 is about 12558.4314307162. The cubic root of 157714200 is about 540.2858568812.

The spelling of 157714200 in words is "one hundred fifty-seven million, seven hundred fourteen thousand, two hundred".