137778048 has 96 divisors (see below), whose sum is σ = 399126000. Its totient is φ = 45619200.

The previous prime is 137778031. The next prime is 137778049. The reversal of 137778048 is 840877731.

It is a happy number.

137778048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 137777994 and 137778012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137778049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228948 + ... + 229548.

Almost surely, 2^137778048 is an apocalyptic number.

137778048 is a gapful number since it is divisible by the number (18) 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 137778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199563000).

137778048 is an abundant number, since it is smaller than the sum of its proper divisors (261347952).

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

137778048 is a wasteful number, since it uses less digits than its factorization.

137778048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 137778048 is about 11737.8894184602. The cubic root of 137778048 is about 516.4877306601.

The spelling of 137778048 in words is "one hundred thirty-seven million, seven hundred seventy-eight thousand, forty-eight".