157189273920 has 672 divisors, whose sum is σ = 674558976000. Its totient is φ = 34035738624.

The previous prime is 157189273903. The next prime is 157189273933. The reversal of 157189273920 is 29372981751.

It is a happy number.

157189273920 is a `hidden beast` number, since 1 + 57 + 189 + 27 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10334481 + ... + 10349679.

It is an arithmetic number, because the mean of its divisors is an integer number (1003808000).

Almost surely, 2^157189273920 is an apocalyptic number.

157189273920 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 157189273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337279488000).

157189273920 is an abundant number, since it is smaller than the sum of its proper divisors (517369702080).

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

157189273920 is a wasteful number, since it uses less digits than its factorization.

157189273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15257 (or 15235 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 157189273920 in words is "one hundred fifty-seven billion, one hundred eighty-nine million, two hundred seventy-three thousand, nine hundred twenty".