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150136851456 = 2103417310463
BaseRepresentation
bin1000101111010011011…
…0101000110000000000
3112100112021222021210000
42023310312220300000
54424440013221311
6152545533440000
713563350116044
oct2136466506000
9470467867700
10150136851456
115874437a729
1225120640000
1311208a26657
1473a3a16024
153d8ab13056
hex22f4da8c00

150136851456 has 220 divisors, whose sum is σ = 450972637632. Its totient is φ = 49751580672.

The previous prime is 150136851437. The next prime is 150136851493. The reversal of 150136851456 is 654158631051.

It is a happy number.

150136851456 is a `hidden beast` number, since 1 + 50 + 1 + 36 + 8 + 514 + 56 = 666.

150136851456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14344081 + ... + 14354543.

Almost surely, 2150136851456 is an apocalyptic number.

150136851456 is a gapful number since it is divisible by the number (16) 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 150136851456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225486318816).

150136851456 is an abundant number, since it is smaller than the sum of its proper divisors (300835786176).

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

150136851456 is a wasteful number, since it uses less digits than its factorization.

150136851456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10668 (or 10641 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 150136851456 in words is "one hundred fifty billion, one hundred thirty-six million, eight hundred fifty-one thousand, four hundred fifty-six".