1152737040 has 320 divisors, whose sum is σ = 4495712256. Its totient is φ = 237828096.

The previous prime is 1152736999. The next prime is 1152737059. The reversal of 1152737040 is 407372511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1152736989 and 1152737007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1025919 + ... + 1027041.

Almost surely, 2^1152737040 is an apocalyptic number.

1152737040 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 1152737040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247856128).

1152737040 is an abundant number, since it is smaller than the sum of its proper divisors (3342975216).

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

1152737040 is a wasteful number, since it uses less digits than its factorization.

1152737040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 1152737040 is about 33951.9813854803. The cubic root of 1152737040 is about 1048.5200738230.

The spelling of 1152737040 in words is "one billion, one hundred fifty-two million, seven hundred thirty-seven thousand, forty".