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132400221511400 = 235217411039221227
BaseRepresentation
bin11110000110101011010100…
…001010111101111011101000
3122100210100010002020110020122
4132012223110022331323220
5114323221123201331100
61145331453322542412
736613412626010423
oct3606532412757350
9570710102213218
10132400221511400
1139206689416187
1212a24072367a08
1358b539730420b
14249a2c23d29ba
151049078627985
hex786ad42bdee8

132400221511400 has 192 divisors, whose sum is σ = 337129571076480. Its totient is φ = 48156930662400.

The previous prime is 132400221511381. The next prime is 132400221511409. The reversal of 132400221511400 is 4115122004231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132400221511400.

It is not an unprimeable number, because it can be changed into a prime (132400221511409) 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, 9747587 + ... + 18968813.

It is an arithmetic number, because the mean of its divisors is an integer number (1755883182690).

Almost surely, 2132400221511400 is an apocalyptic number.

132400221511400 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 132400221511400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168564785538240).

132400221511400 is an abundant number, since it is smaller than the sum of its proper divisors (204729349565080).

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

132400221511400 is a wasteful number, since it uses less digits than its factorization.

132400221511400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9221404 (or 9221395 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 132400221511400 its reverse (4115122004231), we get a palindrome (136515343515631).

The spelling of 132400221511400 in words is "one hundred thirty-two trillion, four hundred billion, two hundred twenty-one million, five hundred eleven thousand, four hundred".