135972131040 has 288 divisors, whose sum is σ = 476756280000. Its totient is φ = 35268157440.

The previous prime is 135972131003. The next prime is 135972131041. The reversal of 135972131040 is 40131279531.

135972131040 is a `hidden beast` number, since 1 + 3 + 597 + 2 + 13 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135972130986 and 135972131004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135972131041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20601661 + ... + 20608259.

It is an arithmetic number, because the mean of its divisors is an integer number (1655403750).

Almost surely, 2^135972131040 is an apocalyptic number.

135972131040 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 135972131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238378140000).

135972131040 is an abundant number, since it is smaller than the sum of its proper divisors (340784148960).

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

135972131040 is a wasteful number, since it uses less digits than its factorization.

135972131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 135972131040 in words is "one hundred thirty-five billion, nine hundred seventy-two million, one hundred thirty-one thousand, forty".