137206157480 has 256 divisors, whose sum is σ = 386452684800. Its totient is φ = 42754314240.

The previous prime is 137206157467. The next prime is 137206157513. The reversal of 137206157480 is 84751602731.

137206157480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107275481 + ... + 107276759.

It is an arithmetic number, because the mean of its divisors is an integer number (1509580800).

Almost surely, 2^137206157480 is an apocalyptic number.

137206157480 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 137206157480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193226342400).

137206157480 is an abundant number, since it is smaller than the sum of its proper divisors (249246527320).

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

137206157480 is a wasteful number, since it uses less digits than its factorization.

137206157480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 137206157480 in words is "one hundred thirty-seven billion, two hundred six million, one hundred fifty-seven thousand, four hundred eighty".