151413504000 has 384 divisors, whose sum is σ = 549610064640. Its totient is φ = 36704256000.

The previous prime is 151413503947. The next prime is 151413504001. The reversal of 151413504000 is 405314151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151413504001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8439039 + ... + 8456961.

It is an arithmetic number, because the mean of its divisors is an integer number (1431276210).

Almost surely, 2^151413504000 is an apocalyptic number.

151413504000 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 151413504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274805032320).

151413504000 is an abundant number, since it is smaller than the sum of its proper divisors (398196560640).

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

151413504000 is a wasteful number, since it uses less digits than its factorization.

151413504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17974 (or 17944 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 151413504000 its reverse (405314151), we get a palindrome (151818818151).

The spelling of 151413504000 in words is "one hundred fifty-one billion, four hundred thirteen million, five hundred four thousand".