1137424100 has 144 divisors (see below), whose sum is σ = 2735824896. Its totient is φ = 408576000.

The previous prime is 1137424097. The next prime is 1137424103. The reversal of 1137424100 is 14247311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1137424097) and next prime (1137424103).

It is not an unprimeable number, because it can be changed into a prime (1137424103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5955005 + ... + 5955195.

It is an arithmetic number, because the mean of its divisors is an integer number (18998784).

Almost surely, 2^1137424100 is an apocalyptic number.

1137424100 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 1137424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367912448).

1137424100 is an abundant number, since it is smaller than the sum of its proper divisors (1598400796).

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

1137424100 is a wasteful number, since it uses less digits than its factorization.

1137424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 1137424100 is about 33725.7186728467. The cubic root of 1137424100 is about 1043.8565210945.

The spelling of 1137424100 in words is "one billion, one hundred thirty-seven million, four hundred twenty-four thousand, one hundred".