1137285408 has 96 divisors (see below), whose sum is σ = 3438167040. Its totient is φ = 322433280.

The previous prime is 1137285407. The next prime is 1137285421. The reversal of 1137285408 is 8045827311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1137285407) 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, 81573 + ... + 94491.

It is an arithmetic number, because the mean of its divisors is an integer number (35814240).

Almost surely, 2^1137285408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137285408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719083520).

1137285408 is an abundant number, since it is smaller than the sum of its proper divisors (2300881632).

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

1137285408 is a wasteful number, since it uses less digits than its factorization.

1137285408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13070 (or 13062 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 1137285408 is about 33723.6624345577. The cubic root of 1137285408 is about 1043.8140917628.

The spelling of 1137285408 in words is "one billion, one hundred thirty-seven million, two hundred eighty-five thousand, four hundred eight".