36133751940 has 192 divisors, whose sum is σ = 125854767360. Its totient is φ = 7610204160.

The previous prime is 36133751933. The next prime is 36133751971. The reversal of 36133751940 is 4915733163.

It is a happy number.

It is a super-2 number, since 2×36133751940² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36133751892 and 36133751901.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21996 + ... + 269724.

It is an arithmetic number, because the mean of its divisors is an integer number (655493580).

Almost surely, 2^36133751940 is an apocalyptic number.

36133751940 is a gapful number since it is divisible by the number (30) 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 36133751940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62927383680).

36133751940 is an abundant number, since it is smaller than the sum of its proper divisors (89721015420).

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

36133751940 is a wasteful number, since it uses less digits than its factorization.

36133751940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247782 (or 247780 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 36133751940 in words is "thirty-six billion, one hundred thirty-three million, seven hundred fifty-one thousand, nine hundred forty".