137345754 has 64 divisors (see below), whose sum is σ = 357993216. Its totient is φ = 34089984.

The previous prime is 137345753. The next prime is 137345773. The reversal of 137345754 is 457543731.

It is a super-2 number, since 2×137345754² = 37727712283657032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (137345753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1884 + ... + 16680.

It is an arithmetic number, because the mean of its divisors is an integer number (5593644).

Almost surely, 2^137345754 is an apocalyptic number.

137345754 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137345754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178996608).

137345754 is an abundant number, since it is smaller than the sum of its proper divisors (220647462).

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

137345754 is a wasteful number, since it uses less digits than its factorization.

137345754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14839.

The product of its digits is 176400, while the sum is 39.

The square root of 137345754 is about 11719.4604824625. The cubic root of 137345754 is about 515.9469854193.

The spelling of 137345754 in words is "one hundred thirty-seven million, three hundred forty-five thousand, seven hundred fifty-four".