152720173890 has 192 divisors, whose sum is σ = 414220716000. Its totient is φ = 39009484800.

The previous prime is 152720173871. The next prime is 152720173901. The reversal of 152720173890 is 98371027251.

152720173890 is a `hidden beast` number, since 1 + 527 + 2 + 0 + 1 + 7 + 38 + 90 = 666.

152720173890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 67046298489 + 85673875401 = 258933^2 + 292701^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48931530 + ... + 48934650.

Almost surely, 2^152720173890 is an apocalyptic number.

152720173890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152720173890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207110358000).

152720173890 is an abundant number, since it is smaller than the sum of its proper divisors (261500542110).

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

152720173890 is a wasteful number, since it uses less digits than its factorization.

152720173890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 152720173890 in words is "one hundred fifty-two billion, seven hundred twenty million, one hundred seventy-three thousand, eight hundred ninety".