137487224352 has 96 divisors (see below), whose sum is σ = 363544396992. Its totient is φ = 45494452224.

The previous prime is 137487224351. The next prime is 137487224383. The reversal of 137487224352 is 253422784731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (137487224351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14657488 + ... + 14666864.

It is an arithmetic number, because the mean of its divisors is an integer number (3786920802).

Almost surely, 2^137487224352 is an apocalyptic number.

137487224352 is a gapful number since it is divisible by the number (12) 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 137487224352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181772198496).

137487224352 is an abundant number, since it is smaller than the sum of its proper divisors (226057172640).

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

137487224352 is a wasteful number, since it uses less digits than its factorization.

137487224352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10490 (or 10482 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 48.

The spelling of 137487224352 in words is "one hundred thirty-seven billion, four hundred eighty-seven million, two hundred twenty-four thousand, three hundred fifty-two".