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149930125800 = 233527139728309
BaseRepresentation
bin1000101110100010001…
…0000010100111101000
3112022222212222112111020
42023220202002213220
54424024103011200
6152513230532440
713555260020250
oct2135042024750
9468885875436
10149930125800
1158648713684
1225083367120
13111a4c55c90
1473843a2960
153d778caea0
hex22e88829e8

149930125800 has 384 divisors, whose sum is σ = 577958841600. Its totient is φ = 31306383360.

The previous prime is 149930125799. The next prime is 149930125837. The reversal of 149930125800 is 8521039941.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5282046 + ... + 5310354.

It is an arithmetic number, because the mean of its divisors is an integer number (1505101150).

Almost surely, 2149930125800 is an apocalyptic number.

149930125800 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 149930125800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288979420800).

149930125800 is an abundant number, since it is smaller than the sum of its proper divisors (428028715800).

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

149930125800 is a wasteful number, since it uses less digits than its factorization.

149930125800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28445 (or 28436 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 149930125800 in words is "one hundred forty-nine billion, nine hundred thirty million, one hundred twenty-five thousand, eight hundred".