1545760152 has 64 divisors (see below), whose sum is σ = 4309785600. Its totient is φ = 513332640.

The previous prime is 1545760141. The next prime is 1545760169. The reversal of 1545760152 is 2510675451.

1545760152 is a `hidden beast` number, since 1 + 5 + 45 + 7 + 601 + 5 + 2 = 666.

It is a super-2 number, since 2×1545760152² = 4778748895022126208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45333 + ... + 71739.

It is an arithmetic number, because the mean of its divisors is an integer number (67340400).

Almost surely, 2^1545760152 is an apocalyptic number.

1545760152 is a gapful number since it is divisible by the number (12) 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 1545760152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154892800).

1545760152 is an abundant number, since it is smaller than the sum of its proper divisors (2764025448).

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

1545760152 is a wasteful number, since it uses less digits than its factorization.

1545760152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26693 (or 26683 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 1545760152 is about 39316.1563736843. The cubic root of 1545760152 is about 1156.2383479829.

The spelling of 1545760152 in words is "one billion, five hundred forty-five million, seven hundred sixty thousand, one hundred fifty-two".