45196129 has 16 divisors (see below), whose sum is σ = 50944320. Its totient is φ = 39735360.

The previous prime is 45196111. The next prime is 45196133. The reversal of 45196129 is 92169154.

45196129 = 2022² + 2023² + ... + 2032².

It is a cyclic number.

It is not a de Polignac number, because 45196129 - 2¹³ = 45187937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

Its product of digits (19440) is a multiple of the sum of its prime divisors (720).

It is not an unprimeable number, because it can be changed into a prime (45196169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119062 + ... + 119440.

It is an arithmetic number, because the mean of its divisors is an integer number (3184020).

Almost surely, 2^45196129 is an apocalyptic number.

It is an amenable number.

45196129 is a deficient number, since it is larger than the sum of its proper divisors (5748191).

45196129 is a wasteful number, since it uses less digits than its factorization.

45196129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720.

The product of its digits is 19440, while the sum is 37.

The square root of 45196129 is about 6722.8066311623. The cubic root of 45196129 is about 356.2053296201.

It can be divided in two parts, 4519 and 6129, that added together give a cube (10648 = 22³).

The spelling of 45196129 in words is "forty-five million, one hundred ninety-six thousand, one hundred twenty-nine".