1137123456 has 128 divisors (see below), whose sum is σ = 3480207360. Its totient is φ = 322237440.

The previous prime is 1137123451. The next prime is 1137123467. The reversal of 1137123456 is 6543217311.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1137123451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339711 + ... + 343041.

It is an arithmetic number, because the mean of its divisors is an integer number (27189120).

Almost surely, 2^1137123456 is an apocalyptic number.

1137123456 is a gapful number since it is divisible by the number (16) 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 1137123456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740103680).

1137123456 is an abundant number, since it is smaller than the sum of its proper divisors (2343083904).

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

1137123456 is a wasteful number, since it uses less digits than its factorization.

1137123456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3470 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 1137123456 is about 33721.2611863791. The cubic root of 1137123456 is about 1043.7645422526.

The spelling of 1137123456 in words is "one billion, one hundred thirty-seven million, one hundred twenty-three thousand, four hundred fifty-six".