135762231971520 has 7056 divisors, whose sum is σ = 679231140107520. Its totient is φ = 25203914588160.

The previous prime is 135762231971479. The next prime is 135762231971537. The reversal of 135762231971520 is 25179132267531.

135762231971520 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 6 + 2 + 23 + 1 + 97 + 1 + 520 = 666.

It is a super-2 number, since 2×135762231971520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 3157261208619 + ... + 3157261208661.

Almost surely, 2^{135762231971520} is an apocalyptic number.

135762231971520 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 135762231971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339615570053760).

135762231971520 is an abundant number, since it is smaller than the sum of its proper divisors (543468908136000).

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

135762231971520 is a wasteful number, since it uses less digits than its factorization.

135762231971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 135762231971520 in words is "one hundred thirty-five trillion, seven hundred sixty-two billion, two hundred thirty-one million, nine hundred seventy-one thousand, five hundred twenty".