201151600 has 120 divisors (see below), whose sum is σ = 526966272. Its totient is φ = 73344000.

The previous prime is 201151567. The next prime is 201151607. The reversal of 201151600 is 6151102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201151607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525009 + ... + 525391.

Almost surely, 2^201151600 is an apocalyptic number.

201151600 is a gapful number since it is divisible by the number (20) 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 201151600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263483136).

201151600 is an abundant number, since it is smaller than the sum of its proper divisors (325814672).

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

201151600 is a wasteful number, since it uses less digits than its factorization.

201151600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 201151600 is about 14182.7923907812. The cubic root of 201151600 is about 585.9238331272.

The spelling of 201151600 in words is "two hundred one million, one hundred fifty-one thousand, six hundred".