45155760 has 160 divisors (see below), whose sum is σ = 154865088. Its totient is φ = 10813440.

The previous prime is 45155741. The next prime is 45155779. The reversal of 45155760 is 6755154.

It is an interprime number because it is at equal distance from previous prime (45155741) and next prime (45155779).

It is a super-2 number, since 2×45155760² = 4078085322355200, which contains 22 as substring.

It is a congruent number.

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, 127744 + ... + 128096.

Almost surely, 2^45155760 is an apocalyptic number.

45155760 is a gapful number since it is divisible by the number (40) 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 45155760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77432544).

45155760 is an abundant number, since it is smaller than the sum of its proper divisors (109709328).

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

45155760 is a wasteful number, since it uses less digits than its factorization.

45155760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 45155760 is about 6719.8035685576. The cubic root of 45155760 is about 356.0992443079.

The spelling of 45155760 in words is "forty-five million, one hundred fifty-five thousand, seven hundred sixty".