30137982552 has 128 divisors (see below), whose sum is σ = 88191936000. Its totient is φ = 9509788800.

The previous prime is 30137982529. The next prime is 30137982557. The reversal of 30137982552 is 25528973103.

30137982552 is a `hidden beast` number, since 3 + 0 + 1 + 3 + 7 + 98 + 2 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30137982498 and 30137982507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30137982557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7799773 + ... + 7803635.

It is an arithmetic number, because the mean of its divisors is an integer number (688999500).

Almost surely, 2^30137982552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30137982552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44095968000).

30137982552 is an abundant number, since it is smaller than the sum of its proper divisors (58053953448).

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

30137982552 is a wasteful number, since it uses less digits than its factorization.

30137982552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5798 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 30137982552 in words is "thirty billion, one hundred thirty-seven million, nine hundred eighty-two thousand, five hundred fifty-two".