137034468 has 36 divisors (see below), whose sum is σ = 352933308. Its totient is φ = 44815680.

The previous prime is 137034461. The next prime is 137034481. The reversal of 137034468 is 864430731.

137034468 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 32626944 + 104407524 = 5712^2 + 10218^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (137034461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34003 + ... + 37818.

It is an arithmetic number, because the mean of its divisors is an integer number (9803703).

Almost surely, 2^137034468 is an apocalyptic number.

137034468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137034468 is an abundant number, since it is smaller than the sum of its proper divisors (215898840).

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

137034468 is a wasteful number, since it uses less digits than its factorization.

137034468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71884 (or 71879 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 137034468 is about 11706.1722181078. The cubic root of 137034468 is about 515.5569028307.

The spelling of 137034468 in words is "one hundred thirty-seven million, thirty-four thousand, four hundred sixty-eight".