157483200 has 336 divisors, whose sum is σ = 609762560. Its totient is φ = 34836480.

The previous prime is 157483199. The next prime is 157483201. The reversal of 157483200 is 2384751.

It is an interprime number because it is at equal distance from previous prime (157483199) and next prime (157483201).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157483201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1444746 + ... + 1444854.

Almost surely, 2^157483200 is an apocalyptic number.

157483200 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 157483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304881280).

157483200 is an abundant number, since it is smaller than the sum of its proper divisors (452279360).

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

157483200 is a wasteful number, since it uses less digits than its factorization.

157483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 157483200 is about 12549.2310521402. The cubic root of 157483200 is about 540.0219469818.

The spelling of 157483200 in words is "one hundred fifty-seven million, four hundred eighty-three thousand, two hundred".