1135400700 has 144 divisors (see below), whose sum is σ = 3846253824. Its totient is φ = 253171200.

The previous prime is 1135400687. The next prime is 1135400713. The reversal of 1135400700 is 70045311.

It is an interprime number because it is at equal distance from previous prime (1135400687) and next prime (1135400713).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79507 + ... + 92693.

It is an arithmetic number, because the mean of its divisors is an integer number (26710096).

Almost surely, 2^1135400700 is an apocalyptic number.

1135400700 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 1135400700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923126912).

1135400700 is an abundant number, since it is smaller than the sum of its proper divisors (2710853124).

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

1135400700 is a wasteful number, since it uses less digits than its factorization.

1135400700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13252 (or 13245 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1135400700 is about 33695.7074417499. The cubic root of 1135400700 is about 1043.2371704716.

The spelling of 1135400700 in words is "one billion, one hundred thirty-five million, four hundred thousand, seven hundred".