11137420 has 96 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 3504384.

The previous prime is 11137409. The next prime is 11137453. The reversal of 11137420 is 2473111.

11137420 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

11137420 is strictly pandigital in base 8.

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, 140941 + ... + 141019.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^11137420 is an apocalyptic number.

11137420 is a gapful number since it is divisible by the number (10) 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 11137420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

11137420 is an abundant number, since it is smaller than the sum of its proper divisors (17892980).

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

11137420 is a wasteful number, since it uses less digits than its factorization.

11137420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 11137420 is about 3337.2773333962. The cubic root of 11137420 is about 223.3202982417.

The spelling of 11137420 in words is "eleven million, one hundred thirty-seven thousand, four hundred twenty".