137890464 has 48 divisors (see below), whose sum is σ = 363061440. Its totient is φ = 45824000.

The previous prime is 137890463. The next prime is 137890481. The reversal of 137890464 is 464098731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (137890463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32464 + ... + 36464.

It is an arithmetic number, because the mean of its divisors is an integer number (7563780).

Almost surely, 2^137890464 is an apocalyptic number.

It is an amenable number.

137890464 is an abundant number, since it is smaller than the sum of its proper divisors (225170976).

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

137890464 is a wasteful number, since it uses less digits than its factorization.

137890464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 137890464 is about 11742.6770372007. The cubic root of 137890464 is about 516.6281635315.

The spelling of 137890464 in words is "one hundred thirty-seven million, eight hundred ninety thousand, four hundred sixty-four".