137941483680 has 2400 divisors, whose sum is σ = 688730853888. Its totient is φ = 25604812800.

The previous prime is 137941483633. The next prime is 137941483709. The reversal of 137941483680 is 86384149731.

137941483680 is a `hidden beast` number, since 1 + 3 + 79 + 414 + 83 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 4449725265 + ... + 4449725295.

Almost surely, 2^137941483680 is an apocalyptic number.

137941483680 is a gapful number since it is divisible by the number (10) 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 137941483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344365426944).

137941483680 is an abundant number, since it is smaller than the sum of its proper divisors (550789370208).

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

137941483680 is a wasteful number, since it uses less digits than its factorization.

137941483680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 137941483680 in words is "one hundred thirty-seven billion, nine hundred forty-one million, four hundred eighty-three thousand, six hundred eighty".