45996132 has 96 divisors (see below), whose sum is σ = 134132992. Its totient is φ = 11943936.

The previous prime is 45996121. The next prime is 45996149. The reversal of 45996132 is 23169954.

It is a super-2 number, since 2×45996132² = 4231288317922848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79428 + ... + 80004.

Almost surely, 2^45996132 is an apocalyptic number.

45996132 is a gapful number since it is divisible by the number (42) 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 45996132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67066496).

45996132 is an abundant number, since it is smaller than the sum of its proper divisors (88136860).

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

45996132 is a wasteful number, since it uses less digits than its factorization.

45996132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 675 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 45996132 is about 6782.0448243874. The cubic root of 45996132 is about 358.2947439004.

It can be divided in two parts, 4599 and 6132, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 45996132 in words is "forty-five million, nine hundred ninety-six thousand, one hundred thirty-two".