202151040 has 384 divisors, whose sum is σ = 806371200. Its totient is φ = 42172416.

The previous prime is 202151039. The next prime is 202151057. The reversal of 202151040 is 40151202.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2271316 + ... + 2271404.

It is an arithmetic number, because the mean of its divisors is an integer number (2099925).

Almost surely, 2^202151040 is an apocalyptic number.

202151040 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 202151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403185600).

202151040 is an abundant number, since it is smaller than the sum of its proper divisors (604220160).

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

202151040 is a wasteful number, since it uses less digits than its factorization.

202151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 202151040 is about 14217.9829793118. The cubic root of 202151040 is about 586.8926356327.

The spelling of 202151040 in words is "two hundred two million, one hundred fifty-one thousand, forty".