1137753834 has 96 divisors (see below), whose sum is σ = 2788421760. Its totient is φ = 307980288.

The previous prime is 1137753823. The next prime is 1137753853. The reversal of 1137753834 is 4383577311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 763362 + ... + 764850.

It is an arithmetic number, because the mean of its divisors is an integer number (29046060).

Almost surely, 2^1137753834 is an apocalyptic number.

1137753834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137753834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394210880).

1137753834 is an abundant number, since it is smaller than the sum of its proper divisors (1650667926).

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

1137753834 is a wasteful number, since it uses less digits than its factorization.

1137753834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1637 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 1137753834 is about 33730.6067837506. The cubic root of 1137753834 is about 1043.9573810790.

The spelling of 1137753834 in words is "one billion, one hundred thirty-seven million, seven hundred fifty-three thousand, eight hundred thirty-four".