138651143100484 has 81 divisors (see below), whose sum is σ = 297898189283583. Its totient is φ = 56293177376016.

The previous prime is 138651143100479. The next prime is 138651143100521. The reversal of 138651143100484 is 484001341156831.

The square root of 138651143100484 is 11775022.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3132133719 + ... + 3132177985.

Almost surely, 2^{138651143100484} is an apocalyptic number.

138651143100484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

138651143100484 is the 11775022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138651143100484

138651143100484 is an abundant number, since it is smaller than the sum of its proper divisors (159247046183099).

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

138651143100484 is an frugal number, since it uses more digits than its factorization.

138651143100484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88590 (or 44295 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

138651143100484 divided by its sum of digits (49) gives a square (2829615165316 = 1682146²).

The spelling of 138651143100484 in words is "one hundred thirty-eight trillion, six hundred fifty-one billion, one hundred forty-three million, one hundred thousand, four hundred eighty-four".