158003415456000 has 576 divisors, whose sum is σ = 526200010103040. Its totient is φ = 42022703923200.

The previous prime is 158003415455999. The next prime is 158003415456071. The reversal of 158003415456000 is 654514300851.

It is a super-2 number, since 2×158003415456000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90133151124 + ... + 90133152876.

Almost surely, 2^{158003415456000} is an apocalyptic number.

158003415456000 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 158003415456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263100005051520).

158003415456000 is an abundant number, since it is smaller than the sum of its proper divisors (368196594647040).

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

158003415456000 is a wasteful number, since it uses less digits than its factorization.

158003415456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

Adding to 158003415456000 its reverse (654514300851), we get a palindrome (158657929756851).

The spelling of 158003415456000 in words is "one hundred fifty-eight trillion, three billion, four hundred fifteen million, four hundred fifty-six thousand".