138141780 has 144 divisors (see below), whose sum is σ = 473820480. Its totient is φ = 29901312.

The previous prime is 138141767. The next prime is 138141781. The reversal of 138141780 is 87141831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138141781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54624 + ... + 57096.

It is an arithmetic number, because the mean of its divisors is an integer number (3290420).

Almost surely, 2^138141780 is an apocalyptic number.

138141780 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 138141780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236910240).

138141780 is an abundant number, since it is smaller than the sum of its proper divisors (335678700).

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

138141780 is a wasteful number, since it uses less digits than its factorization.

138141780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 138141780 is about 11753.3731328500. The cubic root of 138141780 is about 516.9418379275.

It can be divided in two parts, 138 and 141780, that multiplied together give a triangular number (19565640 = T₆₂₅₅).

The spelling of 138141780 in words is "one hundred thirty-eight million, one hundred forty-one thousand, seven hundred eighty".