58137420 has 96 divisors (see below), whose sum is σ = 180714240. Its totient is φ = 13845760.

The previous prime is 58137389. The next prime is 58137451. The reversal of 58137420 is 2473185.

It is an interprime number because it is at equal distance from previous prime (58137389) and next prime (58137451).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38194 + ... + 39686.

It is an arithmetic number, because the mean of its divisors is an integer number (1882440).

Almost surely, 2^58137420 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 58137420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90357120).

58137420 is an abundant number, since it is smaller than the sum of its proper divisors (122576820).

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

58137420 is a wasteful number, since it uses less digits than its factorization.

58137420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 58137420 is about 7624.7898331692. The cubic root of 58137420 is about 387.3931332082.

The spelling of 58137420 in words is "fifty-eight million, one hundred thirty-seven thousand, four hundred twenty".