137541336552 has 320 divisors, whose sum is σ = 418234544640. Its totient is φ = 42065049600.

The previous prime is 137541336469. The next prime is 137541336593. The reversal of 137541336552 is 255633145731.

137541336552 is a `hidden beast` number, since 1 + 3 + 7 + 54 + 13 + 36 + 552 = 666.

Its product of digits (1134000) is a multiple of the sum of its prime factors (1134).

It is a junction number, because it is equal to n+sod(n) for n = 137541336498 and 137541336507.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 217973277 + ... + 217973907.

It is an arithmetic number, because the mean of its divisors is an integer number (1306982952).

Almost surely, 2^137541336552 is an apocalyptic number.

137541336552 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 137541336552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209117272320).

137541336552 is an abundant number, since it is smaller than the sum of its proper divisors (280693208088).

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

137541336552 is a wasteful number, since it uses less digits than its factorization.

137541336552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1121 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The spelling of 137541336552 in words is "one hundred thirty-seven billion, five hundred forty-one million, three hundred thirty-six thousand, five hundred fifty-two".