137625030144 has 240 divisors, whose sum is σ = 455691405312. Its totient is φ = 39169511424.

The previous prime is 137625030083. The next prime is 137625030163. The reversal of 137625030144 is 441030526731.

137625030144 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 2 + 503 + 0 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137625030099 and 137625030108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8475217 + ... + 8491439.

Almost surely, 2^137625030144 is an apocalyptic number.

137625030144 is a gapful number since it is divisible by the number (14) 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 137625030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227845702656).

137625030144 is an abundant number, since it is smaller than the sum of its proper divisors (318066375168).

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

137625030144 is a wasteful number, since it uses less digits than its factorization.

137625030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16517 (or 16498 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 137625030144 its reverse (441030526731), we get a palindrome (578655556875).

The spelling of 137625030144 in words is "one hundred thirty-seven billion, six hundred twenty-five million, thirty thousand, one hundred forty-four".