137497146480 has 240 divisors, whose sum is σ = 514657372320. Its totient is φ = 32692764672.

The previous prime is 137497146473. The next prime is 137497146517. The reversal of 137497146480 is 84641794731.

It is a happy number.

137497146480 is a `hidden beast` number, since 1 + 3 + 7 + 497 + 14 + 64 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63057 + ... + 528176.

It is an arithmetic number, because the mean of its divisors is an integer number (2144405718).

Almost surely, 2^137497146480 is an apocalyptic number.

137497146480 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 137497146480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257328686160).

137497146480 is an abundant number, since it is smaller than the sum of its proper divisors (377160225840).

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

137497146480 is a wasteful number, since it uses less digits than its factorization.

137497146480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591288 (or 591279 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 137497146480 in words is "one hundred thirty-seven billion, four hundred ninety-seven million, one hundred forty-six thousand, four hundred eighty".