157801356733801 has 81 divisors (see below), whose sum is σ = 183338502165637. Its totient is φ = 135712748691520.

The previous prime is 157801356733763. The next prime is 157801356733807. The reversal of 157801356733801 is 108337653108751.

The square root of 157801356733801 is 12561901.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9901123026025 + 147900233707776 = 3146605^2 + 12161424^2 .

It is not a de Polignac number, because 157801356733801 - 2⁷ = 157801356733673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157801356733807) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 212384059836 + ... + 212384060578.

Almost surely, 2^{157801356733801} is an apocalyptic number.

157801356733801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

157801356733801 is the 12561901-st square number.

157801356733801 is the 6280951-st centered octagonal number.

It is an amenable number.

157801356733801 is a deficient number, since it is larger than the sum of its proper divisors (25537145431836).

157801356733801 is an frugal number, since it uses more digits than its factorization.

157801356733801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 157801356733801 in words is "one hundred fifty-seven trillion, eight hundred one billion, three hundred fifty-six million, seven hundred thirty-three thousand, eight hundred one".