1187135040 has 448 divisors, whose sum is σ = 4719181824. Its totient is φ = 246177792.

The previous prime is 1187134999. The next prime is 1187135051. The reversal of 1187135040 is 405317811.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 1187134989 and 1187135007.

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, 9347457 + ... + 9347583.

It is an arithmetic number, because the mean of its divisors is an integer number (10533888).

Almost surely, 2^1187135040 is an apocalyptic number.

1187135040 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 1187135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359590912).

1187135040 is an abundant number, since it is smaller than the sum of its proper divisors (3532046784).

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

1187135040 is a wasteful number, since it uses less digits than its factorization.

1187135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 1187135040 is about 34454.8260770534. The cubic root of 1187135040 is about 1058.8474003042.

It can be divided in two parts, 118713 and 5040, that added together give a triangular number (123753 = T₄₉₇).

The spelling of 1187135040 in words is "one billion, one hundred eighty-seven million, one hundred thirty-five thousand, forty".