202139520 has 256 divisors, whose sum is σ = 745562880. Its totient is φ = 46039040.

The previous prime is 202139513. The next prime is 202139521. The reversal of 202139520 is 25931202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202139521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358759 + ... + 359321.

It is an arithmetic number, because the mean of its divisors is an integer number (2912355).

Almost surely, 2^202139520 is an apocalyptic number.

202139520 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 202139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372781440).

202139520 is an abundant number, since it is smaller than the sum of its proper divisors (543423360).

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

202139520 is a wasteful number, since it uses less digits than its factorization.

202139520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 202139520 is about 14217.5778527849. The cubic root of 202139520 is about 586.8814869860.

The spelling of 202139520 in words is "two hundred two million, one hundred thirty-nine thousand, five hundred twenty".