153007053638404 has 81 divisors (see below), whose sum is σ = 322600243345653. Its totient is φ = 63311185481376.

The previous prime is 153007053638377. The next prime is 153007053638423. The reversal of 153007053638404 is 404836350700351.

The square root of 153007053638404 is 12369602.

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., 80233187460804 + 72773866177600 = 8957298^2 + 8530760^2 .

It is a super-2 number, since 2×153007053638404² (a number of 29 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5022043179 + ... + 5022073645.

Almost surely, 2^{153007053638404} is an apocalyptic number.

153007053638404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

153007053638404 is the 12369602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153007053638404

153007053638404 is an abundant number, since it is smaller than the sum of its proper divisors (169593189707249).

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

153007053638404 is an frugal number, since it uses more digits than its factorization.

153007053638404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61010 (or 30505 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 49.

153007053638404 divided by its sum of digits (49) gives a square (3122592931396 = 1767086²).

The spelling of 153007053638404 in words is "one hundred fifty-three trillion, seven billion, fifty-three million, six hundred thirty-eight thousand, four hundred four".