153436530401504 has 192 divisors, whose sum is σ = 373365760521600. Its totient is φ = 61829671034880.

The previous prime is 153436530401471. The next prime is 153436530401507. The reversal of 153436530401504 is 405104035634351.

It is a happy number.

It is a super-2 number, since 2×153436530401504² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153436530401507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190107734 + ... + 190913130.

It is an arithmetic number, because the mean of its divisors is an integer number (1944613336050).

Almost surely, 2^{153436530401504} is an apocalyptic number.

153436530401504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153436530401504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186682880260800).

153436530401504 is an abundant number, since it is smaller than the sum of its proper divisors (219929230120096).

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

153436530401504 is a wasteful number, since it uses less digits than its factorization.

153436530401504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806466 (or 806444 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 44.

The spelling of 153436530401504 in words is "one hundred fifty-three trillion, four hundred thirty-six billion, five hundred thirty million, four hundred one thousand, five hundred four".