137387881890 has 192 divisors, whose sum is σ = 429324779520. Its totient is φ = 30960377280.

The previous prime is 137387881861. The next prime is 137387881919. The reversal of 137387881890 is 98188783731.

137387881890 is a `hidden beast` number, since 1 + 373 + 8 + 7 + 88 + 189 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (137387881861) and next prime (137387881919).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1150831 + ... + 1264589.

It is an arithmetic number, because the mean of its divisors is an integer number (2236066560).

Almost surely, 2^137387881890 is an apocalyptic number.

137387881890 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 137387881890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214662389760).

137387881890 is an abundant number, since it is smaller than the sum of its proper divisors (291936897630).

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

137387881890 is a wasteful number, since it uses less digits than its factorization.

137387881890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113859 (or 113847 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 137387881890 in words is "one hundred thirty-seven billion, three hundred eighty-seven million, eight hundred eighty-one thousand, eight hundred ninety".