151089900048 has 240 divisors, whose sum is σ = 444016372800. Its totient is φ = 49733429760.

The previous prime is 151089900041. The next prime is 151089900053. The reversal of 151089900048 is 840009980151.

151089900048 is a `hidden beast` number, since 1 + 510 + 8 + 9 + 90 + 0 + 0 + 48 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 151089899976 and 151089900012.

It is not an unprimeable number, because it can be changed into a prime (151089900041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229271143 + ... + 229271801.

It is an arithmetic number, because the mean of its divisors is an integer number (1850068220).

Almost surely, 2^151089900048 is an apocalyptic number.

151089900048 is a gapful number since it is divisible by the number (18) 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 151089900048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222008186400).

151089900048 is an abundant number, since it is smaller than the sum of its proper divisors (292926472752).

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

151089900048 is a wasteful number, since it uses less digits than its factorization.

151089900048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 151089900048 in words is "one hundred fifty-one billion, eighty-nine million, nine hundred thousand, forty-eight".