137529190103040 has 1344 divisors, whose sum is σ = 530246801448000. Its totient is φ = 34130227101696.

The previous prime is 137529190103033. The next prime is 137529190103089. The reversal of 137529190103040 is 40301091925731.

137529190103040 is a `hidden beast` number, since 1 + 3 + 7 + 529 + 1 + 90 + 1 + 0 + 30 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6352670136 + ... + 6352691784.

It is an arithmetic number, because the mean of its divisors is an integer number (394528870125).

Almost surely, 2^{137529190103040} is an apocalyptic number.

137529190103040 is a gapful number since it is divisible by the number (10) 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 137529190103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265123400724000).

137529190103040 is an abundant number, since it is smaller than the sum of its proper divisors (392717611344960).

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

137529190103040 is an equidigital number, since it uses as much as digits as its factorization.

137529190103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21754 (or 21719 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 137529190103040 in words is "one hundred thirty-seven trillion, five hundred twenty-nine billion, one hundred ninety million, one hundred three thousand, forty".