157128006 has 48 divisors (see below), whose sum is σ = 366569280. Its totient is φ = 44770320.

The previous prime is 157127959. The next prime is 157128053. The reversal of 157128006 is 600821751.

157128006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157127959) and next prime (157128053).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193341 + ... + 194151.

It is an arithmetic number, because the mean of its divisors is an integer number (7636860).

Almost surely, 2^157128006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157128006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183284640).

157128006 is an abundant number, since it is smaller than the sum of its proper divisors (209441274).

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

157128006 is a wasteful number, since it uses less digits than its factorization.

157128006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 157128006 is about 12535.0710408837. The cubic root of 157128006 is about 539.6156455611.

Adding to 157128006 its reverse (600821751), we get a palindrome (757949757).

The spelling of 157128006 in words is "one hundred fifty-seven million, one hundred twenty-eight thousand, six".