153736136464 has 45 divisors (see below), whose sum is σ = 301751226709. Its totient is φ = 75877643840.

The previous prime is 153736136429. The next prime is 153736136483. The reversal of 153736136464 is 464631637351.

The square root of 153736136464 is 392092.

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

It can be written as a sum of positive squares in only one way, i.e., 140994242064 + 12741894400 = 375492^2 + 112880^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 130173954 + ... + 130175134.

Almost surely, 2^153736136464 is an apocalyptic number.

153736136464 is the 392092-nd square number.

It is an amenable number.

153736136464 is a deficient number, since it is larger than the sum of its proper divisors (148015090245).

153736136464 is an frugal number, since it uses more digits than its factorization.

153736136464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 1266 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 49.

Multiplying 153736136464 by its sum of digits (49), we get a square (7533070686736 = 2744644²).

The spelling of 153736136464 in words is "one hundred fifty-three billion, seven hundred thirty-six million, one hundred thirty-six thousand, four hundred sixty-four".