151454129400 has 576 divisors, whose sum is σ = 611760844800. Its totient is φ = 34337882880.

The previous prime is 151454129341. The next prime is 151454129417. The reversal of 151454129400 is 4921454151.

151454129400 is a `hidden beast` number, since 1 + 51 + 4 + 541 + 29 + 40 + 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33601947 + ... + 33606453.

It is an arithmetic number, because the mean of its divisors is an integer number (1062084800).

Almost surely, 2^151454129400 is an apocalyptic number.

151454129400 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 151454129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305880422400).

151454129400 is an abundant number, since it is smaller than the sum of its proper divisors (460306715400).

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

151454129400 is a wasteful number, since it uses less digits than its factorization.

151454129400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 151454129400 in words is "one hundred fifty-one billion, four hundred fifty-four million, one hundred twenty-nine thousand, four hundred".