157123008 has 252 divisors, whose sum is σ = 553349160. Its totient is φ = 42384384.

The previous prime is 157122991. The next prime is 157123019. The reversal of 157123008 is 800321751.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 536110 + ... + 536402.

It is an arithmetic number, because the mean of its divisors is an integer number (2195830).

Almost surely, 2^157123008 is an apocalyptic number.

157123008 is a gapful number since it is divisible by the number (18) 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 157123008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276674580).

157123008 is an abundant number, since it is smaller than the sum of its proper divisors (396226152).

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

157123008 is a wasteful number, since it uses less digits than its factorization.

157123008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 157123008 is about 12534.8716786411. The cubic root of 157123008 is about 539.6099240528.

Adding to 157123008 its reverse (800321751), we get a palindrome (957444759).

The spelling of 157123008 in words is "one hundred fifty-seven million, one hundred twenty-three thousand, eight".