45952137 has 96 divisors (see below), whose sum is σ = 91514880. Its totient is φ = 22096800.

The previous prime is 45952133. The next prime is 45952141. The reversal of 45952137 is 73125954.

45952137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45952133) and next prime (45952141).

It is not a de Polignac number, because 45952137 - 2² = 45952133 is a prime.

It is a super-2 number, since 2×45952137² = 4223197789733538, which contains 22 as substring.

Its product of digits (37800) is a multiple of the sum of its prime divisors (75).

It is not an unprimeable number, because it can be changed into a prime (45952133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1482312 + ... + 1482342.

It is an arithmetic number, because the mean of its divisors is an integer number (953280).

Almost surely, 2^45952137 is an apocalyptic number.

It is an amenable number.

45952137 is a deficient number, since it is larger than the sum of its proper divisors (45562743).

45952137 is a wasteful number, since it uses less digits than its factorization.

45952137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 45952137 is about 6778.8005576208. The cubic root of 45952137 is about 358.1804719313.

The spelling of 45952137 in words is "forty-five million, nine hundred fifty-two thousand, one hundred thirty-seven".