137840472 has 288 divisors, whose sum is σ = 496903680. Its totient is φ = 33517440.

The previous prime is 137840467. The next prime is 137840489. The reversal of 137840472 is 274048731.

It is a happy number.

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

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 71 ways as a sum of consecutive naturals, for example, 2932753 + ... + 2932799.

It is an arithmetic number, because the mean of its divisors is an integer number (1725360).

Almost surely, 2^137840472 is an apocalyptic number.

137840472 is a gapful number since it is divisible by the number (12) 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 137840472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248451840).

137840472 is an abundant number, since it is smaller than the sum of its proper divisors (359063208).

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

137840472 is a wasteful number, since it uses less digits than its factorization.

137840472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 137840472 is about 11740.5481984446. The cubic root of 137840472 is about 516.5657217057.

The spelling of 137840472 in words is "one hundred thirty-seven million, eight hundred forty thousand, four hundred seventy-two".