137334852 has 54 divisors (see below), whose sum is σ = 360554558. Its totient is φ = 45769536.

The previous prime is 137334829. The next prime is 137334917. The reversal of 137334852 is 258433731.

It can be written as a sum of positive squares in only one way, i.e., 136048896 + 1285956 = 11664^2 + 1134^2 .

It is a tau number, because it is divible by the number of its divisors (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23628 + ... + 28860.

Almost surely, 2^137334852 is an apocalyptic number.

137334852 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 137334852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180277279).

137334852 is an abundant number, since it is smaller than the sum of its proper divisors (223219706).

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

137334852 is an frugal number, since it uses more digits than its factorization.

137334852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261 (or 5238 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 137334852 is about 11718.9953494316. The cubic root of 137334852 is about 515.9333337344.

The spelling of 137334852 in words is "one hundred thirty-seven million, three hundred thirty-four thousand, eight hundred fifty-two".