137272464 has 240 divisors, whose sum is σ = 475398144. Its totient is φ = 36115200.

The previous prime is 137272459. The next prime is 137272489. The reversal of 137272464 is 464272731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 718609 + ... + 718799.

Almost surely, 2^137272464 is an apocalyptic number.

137272464 is a gapful number since it is divisible by the number (14) 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 137272464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237699072).

137272464 is an abundant number, since it is smaller than the sum of its proper divisors (338125680).

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

137272464 is a wasteful number, since it uses less digits than its factorization.

137272464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 137272464 is about 11716.3332147904. Note that the first 3 decimals coincide. The cubic root of 137272464 is about 515.8551964331.

The spelling of 137272464 in words is "one hundred thirty-seven million, two hundred seventy-two thousand, four hundred sixty-four".