152809064464 has 135 divisors (see below), whose sum is σ = 360624416607. Its totient is φ = 62539025472.

The previous prime is 152809064453. The next prime is 152809064489. The reversal of 152809064464 is 464460908251.

The square root of 152809064464 is 390908.

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

It is a super-2 number, since 2×152809064464² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 26 ways as a sum of consecutive naturals, for example, 251744449 + ... + 251745055.

Almost surely, 2^152809064464 is an apocalyptic number.

152809064464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

152809064464 is the 390908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152809064464

152809064464 is an abundant number, since it is smaller than the sum of its proper divisors (207815352143).

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

152809064464 is an frugal number, since it uses more digits than its factorization.

152809064464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 152809064464 by its sum of digits (49), we get a square (7487644158736 = 2736356²).

152809064464 divided by its sum of digits (49) gives a square (3118552336 = 55844²).

The spelling of 152809064464 in words is "one hundred fifty-two billion, eight hundred nine million, sixty-four thousand, four hundred sixty-four".