130411268736 has 192 divisors, whose sum is σ = 403328808000. Its totient is φ = 37226348544.

The previous prime is 130411268731. The next prime is 130411268747. The reversal of 130411268736 is 637862114031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×130411268736² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (130411268731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26509285 + ... + 26514203.

It is an arithmetic number, because the mean of its divisors is an integer number (2100670875).

Almost surely, 2^130411268736 is an apocalyptic number.

130411268736 is a gapful number since it is divisible by the number (16) 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 130411268736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201664404000).

130411268736 is an abundant number, since it is smaller than the sum of its proper divisors (272917539264).

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

130411268736 is a wasteful number, since it uses less digits than its factorization.

130411268736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6359 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 130411268736 in words is "one hundred thirty billion, four hundred eleven million, two hundred sixty-eight thousand, seven hundred thirty-six".