13785152 has 14 divisors (see below), whose sum is σ = 27355038. Its totient is φ = 6892544.

The previous prime is 13785133. The next prime is 13785169. The reversal of 13785152 is 25158731.

It can be written as a sum of positive squares in only one way, i.e., 13719616 + 65536 = 3704^2 + 256^2 .

It is a super-4 number, since 4×13785152⁴ (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107633 + ... + 107760.

Almost surely, 2^13785152 is an apocalyptic number.

It is an amenable number.

13785152 is a deficient number, since it is larger than the sum of its proper divisors (13569886).

13785152 is an equidigital number, since it uses as much as digits as its factorization.

13785152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215405 (or 215395 counting only the distinct ones).

The product of its digits is 8400, while the sum is 32.

The square root of 13785152 is about 3712.8361127311. The cubic root of 13785152 is about 239.7749742654.

The spelling of 13785152 in words is "thirteen million, seven hundred eighty-five thousand, one hundred fifty-two".