36137920 has 224 divisors, whose sum is σ = 113678208. Its totient is φ = 10616832.

The previous prime is 36137911. The next prime is 36137921. The reversal of 36137920 is 2973163.

36137920 = 491² + 492² + ... + 609².

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36137921) 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, 495004 + ... + 495076.

It is an arithmetic number, because the mean of its divisors is an integer number (507492).

Almost surely, 2^36137920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56839104).

36137920 is an abundant number, since it is smaller than the sum of its proper divisors (77540288).

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

36137920 is a wasteful number, since it uses less digits than its factorization.

36137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 36137920 is about 6011.4823463103. The cubic root of 36137920 is about 330.6138558856.

The spelling of 36137920 in words is "thirty-six million, one hundred thirty-seven thousand, nine hundred twenty".