137781000 has 320 divisors, whose sum is σ = 552689280. Its totient is φ = 31492800.

The previous prime is 137780947. The next prime is 137781029. The reversal of 137781000 is 187731.

It is a super-2 number, since 2×137781000² = 37967207922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19682997 + ... + 19683003.

It is an arithmetic number, because the mean of its divisors is an integer number (1727154).

Almost surely, 2^137781000 is an apocalyptic number.

137781000 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 137781000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276344640).

137781000 is an abundant number, since it is smaller than the sum of its proper divisors (414908280).

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

137781000 is an frugal number, since it uses more digits than its factorization.

137781000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 137781000 is about 11738.0151644134. The cubic root of 137781000 is about 516.4914193485.

The spelling of 137781000 in words is "one hundred thirty-seven million, seven hundred eighty-one thousand".