61137930 has 64 divisors (see below), whose sum is σ = 168376320. Its totient is φ = 13917504.

The previous prime is 61137911. The next prime is 61137931. The reversal of 61137930 is 3973116.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (61137931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72451 + ... + 73289.

It is an arithmetic number, because the mean of its divisors is an integer number (2630880).

Almost surely, 2^61137930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61137930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84188160).

61137930 is an abundant number, since it is smaller than the sum of its proper divisors (107238390).

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

61137930 is a wasteful number, since it uses less digits than its factorization.

61137930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203.

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 61137930 is about 7819.0747534475. The cubic root of 61137930 is about 393.9461949941.

The spelling of 61137930 in words is "sixty-one million, one hundred thirty-seven thousand, nine hundred thirty".