137323863040 has 352 divisors, whose sum is σ = 414127816704. Its totient is φ = 42529259520.

The previous prime is 137323863037. The next prime is 137323863101. The reversal of 137323863040 is 40368323731.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 137323862984 and 137323863002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21895105 + ... + 21901375.

Almost surely, 2^137323863040 is an apocalyptic number.

137323863040 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 137323863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207063908352).

137323863040 is an abundant number, since it is smaller than the sum of its proper divisors (276803953664).

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

137323863040 is a wasteful number, since it uses less digits than its factorization.

137323863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6363 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 137323863040 in words is "one hundred thirty-seven billion, three hundred twenty-three million, eight hundred sixty-three thousand, forty".