137430263250 has 576 divisors, whose sum is σ = 468336660480. Its totient is φ = 29733480000.

The previous prime is 137430263221. The next prime is 137430263263. The reversal of 137430263250 is 52362034731.

137430263250 is a `hidden beast` number, since 1 + 374 + 3 + 0 + 263 + 25 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 119400175 + ... + 119401325.

It is an arithmetic number, because the mean of its divisors is an integer number (813084480).

Almost surely, 2^137430263250 is an apocalyptic number.

137430263250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137430263250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234168330240).

137430263250 is an abundant number, since it is smaller than the sum of its proper divisors (330906397230).

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

137430263250 is a wasteful number, since it uses less digits than its factorization.

137430263250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 137430263250 its reverse (52362034731), we get a palindrome (189792297981).

The spelling of 137430263250 in words is "one hundred thirty-seven billion, four hundred thirty million, two hundred sixty-three thousand, two hundred fifty".