1137641472 has 288 divisors, whose sum is σ = 3720487680. Its totient is φ = 331776000.

The previous prime is 1137641471. The next prime is 1137641507. The reversal of 1137641472 is 2741467311.

1137641472 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 641 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1137641471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6285222 + ... + 6285402.

It is an arithmetic number, because the mean of its divisors is an integer number (12918360).

Almost surely, 2^1137641472 is an apocalyptic number.

1137641472 is a gapful number since it is divisible by the number (12) 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 1137641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860243840).

1137641472 is an abundant number, since it is smaller than the sum of its proper divisors (2582846208).

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

1137641472 is a wasteful number, since it uses less digits than its factorization.

1137641472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 1137641472 is about 33728.9411633392. The cubic root of 1137641472 is about 1043.9230136563.

The spelling of 1137641472 in words is "one billion, one hundred thirty-seven million, six hundred forty-one thousand, four hundred seventy-two".