155239040574016 has 189 divisors, whose sum is σ = 360112570373241. Its totient is φ = 66204777945600.

The previous prime is 155239040574011. The next prime is 155239040574043. The reversal of 155239040574016 is 610475040932551.

The square root of 155239040574016 is 12459496.

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

It can be written as a sum of positive squares in only one way, i.e., 42386662334016 + 112852378240000 = 6510504^2 + 10623200^2 .

It is not an unprimeable number, because it can be changed into a prime (155239040574011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 189085310886 + ... + 189085311706.

Almost surely, 2^{155239040574016} is an apocalyptic number.

155239040574016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

155239040574016 is the 12459496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155239040574016

155239040574016 is an abundant number, since it is smaller than the sum of its proper divisors (204873529799225).

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

155239040574016 is an frugal number, since it uses more digits than its factorization.

155239040574016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 52.

The spelling of 155239040574016 in words is "one hundred fifty-five trillion, two hundred thirty-nine billion, forty million, five hundred seventy-four thousand, sixteen".