153150434451000 has 512 divisors, whose sum is σ = 607819458355200. Its totient is φ = 34945120051200.

The previous prime is 153150434450969. The next prime is 153150434451011. The reversal of 153150434451000 is 154434051351.

153150434451000 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 504 + 3 + 4 + 45 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 108350817 + ... + 109755183.

It is an arithmetic number, because the mean of its divisors is an integer number (1187147379600).

Almost surely, 2^{153150434451000} is an apocalyptic number.

153150434451000 is a gapful number since it is divisible by the number (10) 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 153150434451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303909729177600).

153150434451000 is an abundant number, since it is smaller than the sum of its proper divisors (454669023904200).

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

153150434451000 is a wasteful number, since it uses less digits than its factorization.

153150434451000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404981 (or 1404961 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 153150434451000 in words is "one hundred fifty-three trillion, one hundred fifty billion, four hundred thirty-four million, four hundred fifty-one thousand".