151537858560 has 960 divisors, whose sum is σ = 628033966560. Its totient is φ = 34540093440.

The previous prime is 151537858559. The next prime is 151537858603. The reversal of 151537858560 is 65858735151.

151537858560 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 3 + 78 + 5 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 151537858497 and 151537858506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155104792 + ... + 155105768.

Almost surely, 2^151537858560 is an apocalyptic number.

151537858560 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 151537858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314016983280).

151537858560 is an abundant number, since it is smaller than the sum of its proper divisors (476496108000).

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

151537858560 is a wasteful number, since it uses less digits than its factorization.

151537858560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 151537858560 in words is "one hundred fifty-one billion, five hundred thirty-seven million, eight hundred fifty-eight thousand, five hundred sixty".