137228784 has 160 divisors (see below), whose sum is σ = 447399936. Its totient is φ = 35208960.

The previous prime is 137228779. The next prime is 137228789. The reversal of 137228784 is 487822731.

137228784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137228779) and next prime (137228789).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137228789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395299 + ... + 395645.

Almost surely, 2^137228784 is an apocalyptic number.

137228784 is a gapful number since it is divisible by the number (14) 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 137228784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223699968).

137228784 is an abundant number, since it is smaller than the sum of its proper divisors (310171152).

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

137228784 is a wasteful number, since it uses less digits than its factorization.

137228784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 137228784 is about 11714.4690020504. The cubic root of 137228784 is about 515.8004757103.

The spelling of 137228784 in words is "one hundred thirty-seven million, two hundred twenty-eight thousand, seven hundred eighty-four".