137993310 has 288 divisors, whose sum is σ = 470564640. Its totient is φ = 27772416.

The previous prime is 137993309. The next prime is 137993357. The reversal of 137993310 is 13399731.

137993310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137993310² = 38084307209512200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1662529 + ... + 1662611.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^137993310 is an apocalyptic number.

137993310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137993310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235282320).

137993310 is an abundant number, since it is smaller than the sum of its proper divisors (332571330).

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

137993310 is a wasteful number, since it uses less digits than its factorization.

137993310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 15309, while the sum is 36.

The square root of 137993310 is about 11747.0553757101. The cubic root of 137993310 is about 516.7565744798.

The spelling of 137993310 in words is "one hundred thirty-seven million, nine hundred ninety-three thousand, three hundred ten".