1151138400 has 144 divisors (see below), whose sum is σ = 3762040464. Its totient is φ = 305735680.

The previous prime is 1151138399. The next prime is 1151138411. The reversal of 1151138400 is 48311511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 702382 + ... + 704018.

It is an arithmetic number, because the mean of its divisors is an integer number (26125281).

Almost surely, 2^1151138400 is an apocalyptic number.

1151138400 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 1151138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881020232).

1151138400 is an abundant number, since it is smaller than the sum of its proper divisors (2610902064).

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

1151138400 is a wasteful number, since it uses less digits than its factorization.

1151138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 1151138400 is about 33928.4305560985. The cubic root of 1151138400 is about 1048.0351463457.

Adding to 1151138400 its reverse (48311511), we get a palindrome (1199449911).

The spelling of 1151138400 in words is "one billion, one hundred fifty-one million, one hundred thirty-eight thousand, four hundred".