157006464 has 128 divisors (see below), whose sum is σ = 450921600. Its totient is φ = 48254976.

The previous prime is 157006457. The next prime is 157006469. The reversal of 157006464 is 464600751.

157006464 = T₃₈₇ + T₃₈₈ + ... + T₉₉₉.

157006464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (157006469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255822 + ... + 256434.

It is an arithmetic number, because the mean of its divisors is an integer number (3522825).

Almost surely, 2^157006464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225460800).

157006464 is an abundant number, since it is smaller than the sum of its proper divisors (293915136).

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

157006464 is a wasteful number, since it uses less digits than its factorization.

157006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 157006464 is about 12530.2220251678. Note that the first 3 decimals coincide. The cubic root of 157006464 is about 539.4764747783.

The spelling of 157006464 in words is "one hundred fifty-seven million, six thousand, four hundred sixty-four".