1137939840 has 288 divisors, whose sum is σ = 4095430560. Its totient is φ = 302330880.

The previous prime is 1137939833. The next prime is 1137939853. The reversal of 1137939840 is 489397311.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4198905 + ... + 4199175.

It is an arithmetic number, because the mean of its divisors is an integer number (14220245).

Almost surely, 2^1137939840 is an apocalyptic number.

1137939840 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 1137939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047715280).

1137939840 is an abundant number, since it is smaller than the sum of its proper divisors (2957490720).

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

1137939840 is an frugal number, since it uses more digits than its factorization.

1137939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1137939840 is about 33733.3638998544. The cubic root of 1137939840 is about 1044.0142685327.

The spelling of 1137939840 in words is "one billion, one hundred thirty-seven million, nine hundred thirty-nine thousand, eight hundred forty".