64137840 has 160 divisors (see below), whose sum is σ = 218277696. Its totient is φ = 15482880.

The previous prime is 64137803. The next prime is 64137851. The reversal of 64137840 is 4873146.

64137840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64137840² = 8227325039731200, which contains 22 as substring.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190152 + ... + 190488.

Almost surely, 2^64137840 is an apocalyptic number.

64137840 is a gapful number since it is divisible by the number (60) 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 64137840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109138848).

64137840 is an abundant number, since it is smaller than the sum of its proper divisors (154139856).

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

64137840 is a wasteful number, since it uses less digits than its factorization.

64137840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 64137840 is about 8008.6103663495. The cubic root of 64137840 is about 400.2869607513.

The spelling of 64137840 in words is "sixty-four million, one hundred thirty-seven thousand, eight hundred forty".