137780352 has 160 divisors (see below), whose sum is σ = 417283020. Its totient is φ = 45121536.

The previous prime is 137780351. The next prime is 137780353. The reversal of 137780352 is 253087731.

It is an interprime number because it is at equal distance from previous prime (137780351) and next prime (137780353).

It can be written as a sum of positive squares in 2 ways, for example, as 137733696 + 46656 = 11736^2 + 216^2 .

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 (137780351) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1005628 + ... + 1005764.

Almost surely, 2^137780352 is an apocalyptic number.

137780352 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 137780352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208641510).

137780352 is an abundant number, since it is smaller than the sum of its proper divisors (279502668).

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

137780352 is an equidigital number, since it uses as much as digits as its factorization.

137780352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 137780352 is about 11737.9875617586. The cubic root of 137780352 is about 516.4906096410.

The spelling of 137780352 in words is "one hundred thirty-seven million, seven hundred eighty thousand, three hundred fifty-two".