137848368 has 240 divisors, whose sum is σ = 447828480. Its totient is φ = 36352512.

The previous prime is 137848343. The next prime is 137848379. The reversal of 137848368 is 863848731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (774144) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2932921 + ... + 2932967.

It is an arithmetic number, because the mean of its divisors is an integer number (1865952).

Almost surely, 2^137848368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137848368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

137848368 is an abundant number, since it is smaller than the sum of its proper divisors (309980112).

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

137848368 is a wasteful number, since it uses less digits than its factorization.

137848368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 137848368 is about 11740.8844641279. The cubic root of 137848368 is about 516.5755851007.

The spelling of 137848368 in words is "one hundred thirty-seven million, eight hundred forty-eight thousand, three hundred sixty-eight".