1137737952 has 144 divisors (see below), whose sum is σ = 3502175040. Its totient is φ = 348281856.

The previous prime is 1137737893. The next prime is 1137737957. The reversal of 1137737952 is 2597377311.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1137737898 and 1137737907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137737957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856713 + ... + 858039.

It is an arithmetic number, because the mean of its divisors is an integer number (24320660).

Almost surely, 2^1137737952 is an apocalyptic number.

1137737952 is a gapful number since it is divisible by the number (12) 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 1137737952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751087520).

1137737952 is an abundant number, since it is smaller than the sum of its proper divisors (2364437088).

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

1137737952 is a wasteful number, since it uses less digits than its factorization.

1137737952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1574 counting only the distinct ones).

The product of its digits is 277830, while the sum is 45.

The square root of 1137737952 is about 33730.3713587621. The cubic root of 1137737952 is about 1043.9525234939.

The spelling of 1137737952 in words is "one billion, one hundred thirty-seven million, seven hundred thirty-seven thousand, nine hundred fifty-two".