1465735120100 has 36 divisors (see below), whose sum is σ = 3201709119168. Its totient is φ = 582411300000.

The previous prime is 1465735120049. The next prime is 1465735120111. The reversal of 1465735120100 is 10215375641.

It is a happy number.

It is a super-2 number, since 2×1465735120100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48519176 + ... + 48549375.

Almost surely, 2^{1465735120100} is an apocalyptic number.

1465735120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1465735120100 is an abundant number, since it is smaller than the sum of its proper divisors (1735973999068).

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

1465735120100 is a wasteful number, since it uses less digits than its factorization.

1465735120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97068716 (or 97068709 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 1465735120100 in words is "one trillion, four hundred sixty-five billion, seven hundred thirty-five million, one hundred twenty thousand, one hundred".