137471748480 has 1536 divisors, whose sum is σ = 591850022400. Its totient is φ = 30098718720.

The previous prime is 137471748473. The next prime is 137471748487. The reversal of 137471748480 is 84847174731.

137471748480 is a `hidden beast` number, since 1 + 3 + 74 + 7 + 17 + 484 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (137471748473) and next prime (137471748487).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137471748487) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 843384879 + ... + 843385041.

It is an arithmetic number, because the mean of its divisors is an integer number (385319025).

Almost surely, 2^137471748480 is an apocalyptic number.

137471748480 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 137471748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295925011200).

137471748480 is an abundant number, since it is smaller than the sum of its proper divisors (454378273920).

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

137471748480 is a wasteful number, since it uses less digits than its factorization.

137471748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 137471748480 in words is "one hundred thirty-seven billion, four hundred seventy-one million, seven hundred forty-eight thousand, four hundred eighty".