1187381520 has 120 divisors (see below), whose sum is σ = 4294397016. Its totient is φ = 292276224.

The previous prime is 1187381519. The next prime is 1187381537. The reversal of 1187381520 is 251837811.

It can be written as a sum of positive squares in 4 ways, for example, as 261274896 + 926106624 = 16164^2 + 30432^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54069 + ... + 72788.

Almost surely, 2^1187381520 is an apocalyptic number.

1187381520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1187381520 is an abundant number, since it is smaller than the sum of its proper divisors (3107015496).

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

1187381520 is a wasteful number, since it uses less digits than its factorization.

1187381520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126889 (or 126880 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1187381520 is about 34458.4027488217. The cubic root of 1187381520 is about 1058.9206766202.

The spelling of 1187381520 in words is "one billion, one hundred eighty-seven million, three hundred eighty-one thousand, five hundred twenty".