201145970520 has 256 divisors, whose sum is σ = 736290432000. Its totient is φ = 48439296000.

The previous prime is 201145970489. The next prime is 201145970537. The reversal of 201145970520 is 25079541102.

201145970520 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 45 + 97 + 0 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1737816 + ... + 1849944.

It is an arithmetic number, because the mean of its divisors is an integer number (2876134500).

Almost surely, 2^201145970520 is an apocalyptic number.

201145970520 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 201145970520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368145216000).

201145970520 is an abundant number, since it is smaller than the sum of its proper divisors (535144461480).

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

201145970520 is a wasteful number, since it uses less digits than its factorization.

201145970520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112311 (or 112301 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 201145970520 in words is "two hundred one billion, one hundred forty-five million, nine hundred seventy thousand, five hundred twenty".