13785150 has 48 divisors (see below), whose sum is σ = 35377200. Its totient is φ = 3548160.

The previous prime is 13785133. The next prime is 13785169. The reversal of 13785150 is 5158731.

13785150 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×13785150⁴ (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2766 + ... + 5934.

It is an arithmetic number, because the mean of its divisors is an integer number (737025).

Almost surely, 2^13785150 is an apocalyptic number.

13785150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13785150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17688600).

13785150 is an abundant number, since it is smaller than the sum of its proper divisors (21592050).

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

13785150 is a wasteful number, since it uses less digits than its factorization.

13785150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 13785150 is about 3712.8358433952. The cubic root of 13785150 is about 239.7749626696.

The spelling of 13785150 in words is "thirteen million, seven hundred eighty-five thousand, one hundred fifty".