137829025332 has 96 divisors (see below), whose sum is σ = 379104051200. Its totient is φ = 43182157536.

The previous prime is 137829025307. The next prime is 137829025357. The reversal of 137829025332 is 233520928731.

137829025332 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 290 + 25 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (137829025307) and next prime (137829025357).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3838 + ... + 525045.

Almost surely, 2^137829025332 is an apocalyptic number.

137829025332 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 137829025332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189552025600).

137829025332 is an abundant number, since it is smaller than the sum of its proper divisors (241275025868).

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

137829025332 is a wasteful number, since it uses less digits than its factorization.

137829025332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529042 (or 529034 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 137829025332 in words is "one hundred thirty-seven billion, eight hundred twenty-nine million, twenty-five thousand, three hundred thirty-two".